Digging through the forums, I found that you can adjust the perspective of a group by alt or option clicking the group quads on the output end of things (as long as "mesh warping" is turned on for the group). Great!
The group seems to also allow mesh and bezier but when I click to use those features (I.e., add warping point) it clicks down to the quad within the group at the location of the click - it doesn't seem to allow mesh or bez warping on the group quad. Am I correct in this?