Don't give up on finding other avenues to investigate, such as homeopaths...even endocrinologists (they will test levels your regular Dr's won't.)
Something that is very important for you to keep in mind when it comes to your H though is this.....it's not all about sex for him. It may appear that way to you, but it's not. If he's talking about affection...he's not feeling loved by you.
Many times when we as the HD person are not feeling loved one of the things that seems to come to the forefront is that we miss sex, it's not just the act of sex itself....it's the connection, it's the physical interaction with the person we love, it's bonding, it's the endorphines that give you those warm fuzzies. It's many, many things that come with that act.
When our spouse rejects us (which is I'm sure how your H feels, rejected) that affects a person in so many ways. Self-esteem, self-perception....it can lead to a person feeling unloved, unattractive, unwanted, unappreciated, ignored, discounted, and shut out....which can lead to depression, anger, resentment ect.
I bring this stuff up even though I know you've been lurking on here for some time....sometimes we need to hear that what we are doing has these reprocussions on the person we are with. In your mind, you aren't interested in "sex"....but does that mean you cannot show affection to your H? Does that mean you cannot conciously meet some of his needs?
You seem to be looking for solutions to this problem, I give you a great deal of credit for this. Since it is obviously causing problems for the two of you though....and I'm sure your H is having a great deal of difficulty understanding this...do you think he would see a MC with you while you two work through this? It might help him to understand where you are coming from, help to dispell some of the anger that is also not helping the situation. It might also show your H how much you want to work through this to find some sort of a solution.