You can get a hysto done with little cost to you.
What I did was post-top surgery and having been on T for a few years I started to get serious pain (caused by the internal chick parts). Obviously, to go to a surgeon who does SRS/GRS surgeries you're going to pay 10k + because of the hospital costs. So I found a woman's clinic (hey, I swallowed my pride and did what it took) in a nearby more liberal city that did income-based services. The main doctor was a very liberal type woman who'd never met a transguy before. I told her my situation (ie: been on T for this long, live full time as a guy, having pain, no insurance, armed services doctors wouldn't ever give me a hysto even though I tried from the moment I hit puberty, at that time I was a complete virgin, ect.). She spoke with my therapist and doc that prescribed hormones, and she agreed to give me the hysto. She charged me $200 for her fee, and then I was responsible for hospital costs...which I got covered under a state-wide program that helps pay for hospital costs for low-income people. So my 12k surgery cost me about $500. The timeline was about 2 weeks from me finding her to my having the surgery completed.
I had it done vaginally (the doc didn't want to do it abdominally because recovery time is greater, it's more painful, ect.). I had a slight infection at the small incision line on my abdomen (my own fault as I was traveling and lifting heavy bags and I was told not to), but otherwise the pain was negligible and I healed just fine. The effects of T became more noticeable (ie: I got thicker and darker facial hair and the hair on my arms got darker...my voice dropped a bit more too) after the hysto.
So it can be done...just make sure you find the right person and place. Look into what kind of low-income programs (for medical services) are in your area. There's a will...there's a way. What I would do is once you start hormones I'd find a OBGYN doc that may or may not have experience with transguys, and explain your situation. If you haven't changed your gender yet and have insurance, chances are you could get the entire thing covered.