The bad news and the good news.
1. Very few LLMD's can take insurance. Some do.. but I would not limit my search to ONLY someone who does at this point. Treatment is most important... bills can be handled later.
2. What they are planning on doing to your 4 year old (cut out the bite sight when they don't even know what bit him) sounds rather barbaric at the least... and in MY opinion, stems from a poor base of knowledge about tick borne diseases.
I won't say they are stupid.. but if you handed me a bowl of chocolate ice cream right now.. you MIGHT force me to say that. 
3. There is no way we can present all of the options you have in a short time here... and no way you can learn all you would need to know about tick borne diseases to understand the full situation in order to be able to help your child the best.. and in a timely manner. Time is of the uttttt most importance here.
4. More than anything we would like for your child to have the best chance and care possible and be treated by someone who does know Lyme and other tick borne infections. The tick bite MAY be be causing the symptoms of not sleeping and belly aches... but it should be checked out by someone who knows.. not a military doctor with no experience in this area.
His decissions and actions could be something that ends up affecting your child for the rest of his life... good or bad. I would want this in the hands of someone who knows what they are doing. By you being here at this site asking questions.. I know you feel the same.
5. We will all try to assist in any way we can.
6. If someone can email you the name of the nearest LLMD.. and it may be a distance to travel.. I HIGHLY recommend this be your next step.
I don't have a Kentucky list here.. so if anyone knows who is the closest.. can you help?
Once you get an appointment with the LLMD.. email me the name of the doctor and the phone number... and the day and time of the appointment.
If you are unable to pay for the visit... let us know.
I do NOT want anyone.. especially our military folks... not be able to get good help for Lyme disease... and especially for a child.
I will offer to pay a portion of that first visit directly to the doctor if they will allow that arrangement.
I can't do much.. but I will try. Let's say it is a small gift for what the military does for us... and we thank them every day.
Now..
How is that for a wing ding deal?
Email me with the details if you would like to take us up on the offer.
Or.. email me if you have more questions or need anything.
We do NOT use doctors names here on the board without their permission.. so please be aware of that... ok?
Oh.. my email.. and put "Lyme" in the title so you don't get sent to the trash can as junk mail... ok?
What ever you decide... we will try to help.

And PS... Thanks for taking time and caring about our most precious resource... the children! Good for you, mommy!
Just wanted to say "hi" and welcome! Sorry you're having such a rough time. I have a similar situation as it is also tough finding decent docs that take MediCal (Medicaid).
You're in good hands with Miss Tincup 
Tabby
Please....focus on your child here...you haven't jumped the guns AT ALL.
The bullseye rash is indicative ONLY to Lyme.
It is that UNIQUE. 
Your son has Lyme. Without a doubt.
I have Lyme....my 2 girls have Lyme also.
He is having typical neurological manifestation for a child. Loss of appetite and changing sleep patterns.
Please...don't delay in getting him proper treatment.
IF his problems are labeled as a boy "causing" trouble..or, EVERY child does that...then hold on for the rest.
When puberty hits and the Lyme goes crazy...and, he does...along with yuo and your hubby...as you watch him decline.....
Its NOT worth waiting.
If you move now you can stop the slow neurological progression of the darndest disease you've ever ran into.
DO IT NOW......PLEASE.
Or.....we'll all end up knowing you down the road as come back for help, and advice while you deal with Late Stage Lyme.
Don't blame his symptoms on childhood behaviour...PLEASE.
I beg of you.
Trout 
My story www.ildf.info/page3
------------------
Now is the time in your life to find the "tiger" within.
Let the claws be bared,
and Lyme BEWARE!!!
Iowa Lyme Disease Assoc.
www.ildf.info
Sorry you are having to deal with this disease. I know that it is overwelming. My husband and I both have Lyme and we suspect Lyme in our 3 children. Their pediatrician ordered testing yesterday.
My family lives in Southeastern IN and we travel to see Dr. Crist. The doctor recommended by troutscout.
He is a wonderful doctor. I highly recommend contacting him. He is extremely knowledgable and easy to work with.
I personally would NOT allow your son's current doctors to remove the bite site. Bulls eye rashes will fade with time. Mine lasted several months but is now completely gone. I sure wouldn't want a scare there!
Also don't put too much faith in the Lyme testing that has been done. Testing is very unreliable especially the Elisa, which is the test of choice by most doctors who have no clue!
I also agree to what was said about children with Lyme as they grow older. My brother has Lyme. Before he was diagnosed this previously well behaved child, spent the school year in after school detention and went from an A student to an F student!
This is a very horrifying change to see in a child! Please do all that you can to prevent this from happening to your precious child!
Contact Dr Crist and he will be able to help you. I know that expenses can be a problem but the sacrifices are well worth it to save your child!
Our prayers are with you!
SC
I was Military...and, my wifew was AAN AIr Force Nurse for 15 years.
DR C was a Flight Surgeon for teh Air Force before going into private practice....you Army Physicians may like it when they hear that.
Tell them that I was referred to Dr C from Erhling-Berhquist Hospital at Offutt Air Force Base in Omaha.
The military hospital/clinic by St Louis also has referred people to him.
Hope this helps.
Trout
I have sent you an e-mail with some possible helpful information and resources.
Debbie