I have to ask... is your lack of sex drive down to his pressuring you constantly?
The reason i ask is i've been where you are, mismatched libido, unhappy DH with gropey hands, constantly harassing me in the kitchen, hands down my pants, up my top, jumping me in the bedroom whenever i was getting changed for bed, waking me up for sex and getting shirty when i said no...etc.
Its exhausting, and in my case it turned into a game of how long i could put 'it' off before i would have sex just to make him leave me alone for a few days. I tried talking to him a few times but got nowhere.
We actually separated briefly and this was bought up in counselling and he actually said that he tried it on so often in the hope i would say yes because he could never predict when i would, so it was worth the gamble to him, he didnt realise how much i hated it.... at least not until the counsellor explained it!
We got back together, and he was better, but then it started again, i put up with it for a little bit, but eventually i'd had enough. We had a very serious discussion about my lack of sex drive, and how sex was important to him as i'm not a naturally tactile person and he felt like i didn't love him because unless we were having sex i didn't touch him other than a goodnight kiss before i went to bed.
I told him that i would never be able to rediscover my sex drive with him constantly harassing me, because all i felt was pressured and put upon which was annoying, not enjoyable and just made me want to yell at him to leave me the fuck alone, and withdraw from being touched or hugged because i was always waiting for him to turn a hug/kiss into a grope opportunity.
We came to a compromise. He's stopped trying it on in bed at night time, he's more or less stopped the groping (but its down to acceptable levels imho and its reciprocated), i dont feel pressurised any more. In return i agreed i would initiate more after an initial 'dry' period where he'd leave me alone and let me go to him, and i would be more huggy/kissy with him.
These days when we put the kids to bed in the evening we will lie on our bed afterwards and have a cuddle and a chat for a couple of hours, sometimes it turns into sex, probably about once or twice a week, sometimes more, sometimes less.
Obviously, this was done because we do love each other and he wanted to make it work, so far it seems to be doing ok for us.
I'm not suggesting it will work for you, and it does need BOTH of you to agree to it and put some effort in, but if your DP is going to be a dick and carry on being a dick, you might be better off cutting your losses before you complete on the house!
I know how miserable what you're going through is, dont let it carry on!