TL;DR: I take a ride with a neighbor every day after work, he takes his cat everywhere and while taking him, let's the cat free on the car. I'm allergic to cats.

My fiancee and me can afford only one car, that she drives because her work is on the other side of town (and in the opposite direction of mine). I take rides with my neighbor that works on the same company as me.

Let me just make it completely clear: I love cats, but I'm also allergic to them, I can't stop sneezing and my head hurts like hell for an hour or more after dealing with a feline.

Anyway, I'm not exactly friends with this guy, we just see eachother at work and when occasionally run at the other at the local market. But he takes his cat everywhere, I seen he and the cat at parks, the cat waiting him at the car while he shops...
I don't want to be a burden, I hoped he would do something by seeing me sneeze every day for months now.

I think it would be a dick move to ask this, since I could just take the public transportation (adding an hour to my daily commute), but my friends and fiancee think I should just talk to him.