Your pros sound like you're compatible from a logical perspective but obviously something is off between you two from an emotional perspective. The fact that you are not having sex for six months and neither one of you give a shit is a huge red flag that this is not a healthy and normal relationship. I'm generally the anti-rerolled poster when it comes to sex because I feel everyone on this forum puts way, way too much weight and emphasis on it but it is still an important aspect of a healthy relationship and generally the health of the sexual relationship is a direct manifestation of the overall health of the relationship in general.
First I think you need to askwhyyou aren't being physical. Lack of attraction? Lack of caring? Seen as more effort than benefit? Neither of you care to initiate? Or it could be something more. Like you are both actually fed up with one another but are both incredibly shit-scared to actually sever the relationship. So you'll allow it to sit in this awkward limbo state because you feel being with anyone even in a direly unhealthy relationship is better than none at all. The fact that you basically just referred to her as a trophy on the first page and an ego boost to yourself indicates, to me, you are horribly insecure.
You should fix yourself and possibly it will fix your relationship. Or possibly the relationship is already soured to the point where it is beyond repair. Either way it doesn't sound like it is really the chick at fault. She is the one driving to see you which is a very real representation of making an effort. You seem to just sit around and bitch about her parents from your Midwestern cosmopolitan fantasy land and complain about her breath but sounds like you're too afraid to actually tell her it smells bad and fix it.