My H is similar in that his version of "desire" only occurs as a result of his aroused p*nis waking up his brain to do something. He doesn't do foreplay outside the bedroom for the most part and will opt for sleep over sex because that is what his body tells him to do. Never mind that the fact he is so tired is something he chooses because of the way he chooses to live - overly scheduled, busy etc...
What I meant by a menu is.... What if you initiate every night for an extended period of time and he ML with you 80% of the time and the other 20% when he says "Honestly, HP I am TOO TIRED" you say "Well, how about some oral OR some manual" and when he says, "This is ridiculous, we have just had sex 5 nights in a row" you say, "Well then, how about that schedule of 2/3 nights per week instead." Sounds silly, might work.