Earlier quoted context omitted.
Is there a way to actually request a specific doctor have some time dedicated to figuring your case out at your expense? i.e. "Please do more troubleshooting for me above what insurance pays." I like your idea - but I fear the industry might have already ruled it out. -edit- Granted, I've done this in my own life by going to specialists at their own offices/outside of a hospital or medical group.
Unfortunately, no. Your doctor is contractually bound to the insurer’s fee structure; they can’t take an extra penny off of you. You’d have to go to someone that doesn’t take your insurance at all (or just don’t tell them you have that insurance). The side effect of all this, honestly, is that doctors stop learning how to turn off 7-minute-mode. When it comes to very serious problems, it pays to go to a practice that…
There are some doctors at teaching hospitals who specialize in diagnosing rare diseases and don't take insurance for this reason.