Many people do carry a small compressor with them.
For filling/topping off tires, a large air tank is unnecessary and can be an annoyance (as you need to wait for it to get up to pressure).
I have a Fini AirBoss, which is fairly reasonably priced and quite compact. It has a turn-off pressure of 135 pounds (and a turn-on pressure of 110 I think), so it would work for your tires, but not be ideal. I've been impressed with it so far; it's relatively quiet as small compressors go, and seems pretty well built. (I do wish to point out that "relatively quiet" is not at all the same thing as "quiet.")
For 12V powered compressors, Vair seems to have a very good reputation. On the other hand, the cheap little inflators that are available most everywhere are nearly useless for large, high-pressure tires.