Welcome to Lyme Net!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?
[email protected]
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!