Any licenced doctor or even supervised nurse practitioner can prescribe these things if they feel comfortable doing so; you don't necessarily have to set the bar so high for yourself on cost. Heck, I know in some US cities, there are walk in health clinics using informed consent that treat mostly poor and indigent patients without insurance, and they most certainly can get appropriate HRT.
If you do go the full therapist/psych/endo route, without insurance, you're definitely in the thousands of dollars territory, not to scare you off, but no sense pretending otherwise. Then again, electrolysis/laser hair removal is still likely to be more expensive than that.
edit: missed the FTM... you probably don't need the hair removal thing...