Has he had a thorough checkup? If not he REALLY should have one. Also, he's obviously not understanding the depth of pain that rejection can cause...he's got tunnel vision and it's all about him, him, him.
I don't say that to be mean to him, it's just simply how it appears to me. My LDH did the same thing. With him however the problem is slightly different. But he also came up with excuse after excuse not to ML. There's something more going on with your H.
What about counseling? If he's shot that down, is it possible he's having an affair...and feels that by sleeping w/you he's cheating on the OW? Sounds cruel I know, but it does happen.