So I went to the specialist, he said my symptoms weren't "typical of carpal tunnel" but wanted to schedule some tests anyway. A couple of hours after my appointment I found out over the phone the specialist doesn't take my health insurance... so that's where I'm at currently.
My wrist itself feels better now that I've learned more stretches and finally tried out hot/cold immersion therapy. Not great, I still can't draw or play games for very long without having to stop due to pain.
I'm really hoping I can get back to drawing before April but I'm not sure anymore. This stuff takes longer to schedule than I originally thought it would.