HP... I don't get the impression you are a sex addict. I do believe that your H's avoidance, neglect, and awkwardness has ( in the past anyway) created more of a hunger. It becomes difficult to accept what he does offer you (which by some standards here is a lot) because inwardly you have the sense that he isn't doing all he can to work with you on this issue. Certainly if he weren't putting up some psychological barriers of some kind, I could easily picture you being content with some compromise of your sexual frequency discrepancy. IOW, a 2x/week vs 4x/ week difference is not a big deal when you are both on board 100 percent.
Anyway...I've seen you detach and grow and approach a level of acceptance, and this may be as far as you can take things now. Congrats on coming up with the doula idea...how exciting!...I think this is going to be great for you personally and for the marriage as well. I am going through some work changes myself---will update my thread soon.