You seem to know yourself quite well. Attachment issues can sound much, more sinister than they really are. A distant or pre-occupied parent for instance. It is not abusive, simply distracted parenting. Generally a care giver dealing with their own issues. But, you appear to have a good handle on all of this.
The relationship between your parents may have some merit here. I am not suggesting you were harmed in any way.
In addition, considering what you went through I can see why "trusting" others, especially significant others can be a challenge for you. I think it would be for most.
Now about my boyfriend. He is the type of person that requires care, attention and warm fuzzy loving. I did try to provide attention and I had to force myself quite a bit, however, I could not always be true to myself and felt like I was roleplaying. I tend to not even be aware of other people's presence as the only person that really exists is myself, so it was hard work even retaining communication and at least returning calls and text messages. However, I feel like this cannot go on forever.
This appears to be a big mismatch between you. He needs something you just can not give and quite frankly, you have the right to get what you need as well. If someone needs so much "care", it is not fair to you to be expected to provide it, if you are unwilling or unable. This is why I suggested talking it out. I know that is a challenge, to share your self or go in this direction.
But relationships can work between avoidant people and "other" (whether they are anxious or secure), if they both understand what is and is not possible. And then choices made based on those issues. I can not see what else you can do here. As you said, you care enough to not want to role play.
In the end , a partner who also likes autonomy and not necessarily too much intimacy may be a better fit.