I have this compressor and it does fine with 285/75/16 tires. I'm guessing that these actually require more air volume then the tires you are running. There are several topics out there regarding portable air compressors.
__________________
2007 Ford RB Diesel SMB 4x4 Pueblo Gold; Custom configuration (aisle layout); PIAA 580 driving lights; Picked up on Oct 19, 2007.