I was diagnosed with Hashimoto's Hypothyroid, a degenerating thyroid disease that makes my thyroid go from hypo to hyper even if I don't change my meds. I won't say it's easy to lose when you are hypo but I can say it's definitely possible. We just have to be much more strict with our calories counted as well as the amount of exercise we do. I know you mentioned being on a bunch of different programs, but I'm not sure how long you stayed with them. I know for me I have to stick with something for a least 2-4 weeks before I notice any changes at all.
The best advice I can give is to find a program that you know you can stick to long term. I know it helps me if I think of this as a change of my lifestyle because if I start thinking "diet" I start feeling restricted and usually that just screws everything up for me. I'm a calorie counter and I average about 1700/day. To date, I've lost 16lbs in about 8 weeks (although I'm up right now do to TOM).
So can you lose weight being hypo? Yes, absolutely. But it does take some hard work & discipline. Best of luck.