Okay... how about this idea (I think it's kind of clever): why not tell your H you're putting the two of you on a sex diet. Tell him you are limiting your sexual encounters to three times a week. Tell him what you've told us, that he seems to want it more when it's not available so readily, and that for you to be in the position where you want it all the time and he's not interested as much as you are is bad for both of you. So you're going on a sex diet.
Before you say this is manipulative, I maintain it would only be manipulative if you did this without telling him about it.
Yes, you are interested in sex a lot of the time. But you don't have to have sex just because you're interested. You might be interested in chocolate or doughnuts or watching tv (fill in your own thing here), but you discipline yourself and forego those activities for other reasons, right? Either to lose weight, save money, or just as a personal discipline. In this case, you're foregoing sex to heighten his interest (and maybe your own interest, too). (If three times might seem like a feast to him and letting him off the hook, then make the diet twice a week.)
Tell him you're limiting the two of you to sex three times a week, but you're not going to tell him ahead of time which three nights (or days) those will be. So if he approaches you on Tuesday, you might say, "Well if we do it tonight, then there's only two more times left for the week. Are you sure you wouldn't rather wait?" Or if you do it twice on Saturday, tell him, "Well, that means only once during the week." You'll have to decide when the week starts and ends.
This is specifically in response to your statement that sometimes he passes, because he knows you will be available tomorrow and the day after, too.
If he says, "I know you love sex-- why would you turn it down?" You can say, "I love chocololate (cheesecake, sleeping til 10 am, etc) too, but I discipline myself for reasons of personal growth." Surely he will understand the discipline angle.
As for him seeing through you-- the point is you don't pretend that you're not interested. You let him know you're VERY interested, you're just going to stick to the diet. "Oh, I wish we could tonight, because I'm so horny I could chew nails, but we already did it three times this week, and I'd be breaking my diet." or "I wish we could do it tonight-- you look so delicious, but we already did it twice this week, and if we do it tonight, we won't be able to do it on Saturday, and I was really looking forward to Saturday."
Yeah, it's game-playing, but if you truly make it a game, it just might make you seem more like forbidden fruit. It might kick things up a notch for both of you. It's more playful and spirited than the one-week-for-you one-week-for-me schedule (although that was an excellent idea).
