From my experience on asexual forums from back in the days when I thought I was asexual, there were some people in relationships who said that while they didn't feel any sexual attraction or desire to have sex, they still enjoyed the intimacy and the fact that they were helping their partner have that connection with them.
I dunno if there are many asexual people here, but I'd recommend going to the
AVEN forums and having a look around. They have a specific subforum for people who are in relationships with asexual people too, so it's probably worth checking there.