I've had about 14 sessions over two years to remove my beard, and one electro. About a year and a half in i started an increasing dose of spiro, and over a month ago started estrogen. I'm having difficulty growing hair long enough for electrolysis at this point, so I'm hoping things will be over soon. Going to take a lot of tuning up on the sideburns, or keeping a razor handy though. Blah.
if your hair is really fine and light you're going to have limited results from laser. $750 doesn't seem bad for what you're treating I paid $1537 for my package of 7, with 75% off subsequent treatments ($122~ for full face and neck.)
If you only have hair in the goatee, you may consider trying to find a place that does electrolysis and laser both and combine the two. It doesn't sound like you're the best candidate for laser.