Yes your request is a little mutually exclusive. I've found anything much over 100+ waist gets pretty cumbersome in the bumps. For example I've had CRJs, and S7s in the bumps and they are pretty miserable. It is possible, just not much fun, and a constant battle to stay out of the back seat.
The most powder oriented type ski I have had fun in the bumps with is the s3 (98 waist, small tip and tail rocker). This is not the ultimate powder ski by any means, but can slay the powder still if you are a good skier. You are giving up a little in both "venues" if you want a ski that does both. Thus my recommendation would be to find a ski that is in the 105 - 90 waist area and has a small rocker/early rise. Go bigger waist if you want more towards powder, less waist if you want more toward bumps)
I'll let others recommend a specific ski, but skis in the category I just mentioned (in no particular order):
Rossi s3
On3p jeronimo
line Blend (100 waist)
k2 revival
k2 kung fugas (102 waist)
4frnt VCT Turbos (I think they are just calling them turbos this year) (100-108 waist)
Moment Rocker
Faction Alias (102 waist)
Liberty Helix (105 waist)
Non rockered:
Moment Tahoe
Line Prophet 90/100
4FRNT MSP
Armada ARV
The smaller waist rockered park skis like the Armada alpha 2 may an option. I just can't speak for how they ski bumps or powder
All the skis above will not ski powder like a JJ, hellbent, EHP, s7, etc... and they will not rip bumps like a Hart F17.. but will do both reasonably.
I'm assuming you are a good bump skier that skis "the zipper line", F' all this advice if this is not true.