Another day, another woman looking for top tips on batting away horny husbands!
You have some serious questions to ask yourself about what you want from the future and from life. On the surface it sounds like you're in denial, but I suspect you know the reality, deep down.
You offer some pretty dubious and weak claims of "I do love him" and "he's a good man" etc. Mmm. Your true feelings, however, shine through from the way you speak about sex. You seem absolutely repulsed by it (and, by extension, him).
But you're unwilling or unable to actually tell him that. Why not? He's your husband, can't you talk to him about anything? Doesn't he deserve to know?
You say it's because it would make him try to make you want it more. I mean, yes, possibly.
I think the real reason you don't want to talk to him, is because despite what you've said, you DON'T actually love him. It's telling that you're not on here asking for advice on managing kids and family life in order to have time and space to build a better connection with your husband.
Which is entirely possible to do, even with a busy life! Plenty of parents with young children manage to make this happen. Young kids and "a thousand things to do" don't actually have to expand to take up an infinite amount of your time and energy.
But you have to value your marriage and want to prioritise it in order to make it happen.
And you don't.
It really sounds like you'd be much happier if it were just you and the kids. Sex (and, by extension, your marriage) is a "really inconvenient chore".
If there are ways in which you feel he is letting you down as a husband and father then you need to tell him this, and tell him clearly (That is IF it would make a blind bit of difference, which I doubt it would).
From what you've said, I think the reason you won't have the conversation is that you know that true honesty would blow your family life apart.
So you're stringing him along, which is just about working for the moment, but you're obviously struggling with it, which is why you're on here.
This will not go away on its own. He deserves happiness too.
You are delaying the inevitable.
Be honest to yourself, and to him.
Have the conversation. Say the words.
Either prioritise your marriage, or end it.