If you show symptoms of lyme, like arthiritis, or late stage lyme you can do so. Because Chronic lyme is a term used by the believers and not the mainstream scientist. LLMDs will not take insurance, they can make a profit by charging you per/time or per visit. It is very expensive to see one, and the tests also adds up the cost. From what ive gathered from other forums of lyme, they said thier llmd use labs like IGENEX, and and if it comes out negative, the llmd will diagnose it as lyme(even if the symptoms are not officially to come from lyme). Furthermore, sometimes they want you to do a CO-infection panel with lyme, which is even more expensive than 200$. The catch is the tests that iGENEX does for lyme and coinfections, have not been investigated as reliable by academic sources. if you go the LLMD route, you will be paying 100s thousands(none are covered by insurance).
Note: theres a gigantic list of symptoms that Chronic lyme disease "300 symptoms" mimic other condition, these are very non-specific. doxycycline and minocycline do have anti-inflammatory properties, and people taking those could have autoimmune instead of actual lyme. i noticed people have gotten yeast infections and other maladies from taking long term antibiotics, and you know how antibiotics ruins your gut flora.
your more than welcome to do these test and get yourself diagnosed with lyme with an LLMD, its a risk to take.