Do you have a DB coach? I really, really encourage you to get one.
There is a tension between some of the DB techniques and some of the needs of a Sex Starved relationship that I don't know how to suggest you handle.
So to DB you are supposed to keep moving on, make yourself as awesome, attractive and appealing AM you can been....be the person you would want to hang out with. That makes perfect sense in both situations. However, in healing a SSM the low desire person is called upon to start reaching out but in DB that would be considered pursuing.
What is your H other love languages? I'm wondering if you do some 180's that show you are trying to speak in his other Love Languages he'll develop trust in what you are doing to improve your sex languages?
And to be honest despite how hurt he is, he does have some responsibility to be open to your attempts, he's being a little pouty and passive aggressive. (but don't let that give you an excuse)