I can't speak for the Mini, just the Road Morph with the gauge. If you don't get the gauge, I find it is about 1psi/pump stroke.

I have one on each bike. I have used them to pump up the tires without issue. The mini-foot rest and the T-able handle had me pumping to 100psi without issue (although, I will admit I make DH do the muscle work after I change the tire).

On one bike, I have a water bottle cage mount under the top tube (yep, top tube--it is strictly for the purpose of holding my road morph). I have the other mounted to the side of the down tube's water bottle cage (uses a Blackburn mount with a old inner tube shim). A single piece of velco is enough to keep them behaving.

I don't hit the pump under the top tube and, btw, I cannot tolerate a bento box since I hit it with my knees; I have plenty of clearance by the crank (note: I run a triple).

Dimensions: just under 14" in length. Most places it is 1" in width, but the valve head clamp is 1.5" wide. When I mount it on the down tube, I just rotate the valve head so that it is pointing to have the narrowest profile.