First off let me say, I have a 1991, so I have not dealt with this first hand. I just looked at some pics on ebay, and I would say it CAN be done. There are no vac lines as I can see, so that won't be a problem. It looks like the depth and orientation of the circuit boards the way they are currently mounted will be the issue. Being an electronics guy, I would do it this way, and mind you, this is just in my head so take it for what it's worth.
I would use the original suburban fascia and use the circuit board from your ac unit. Remove the potentiometers on the burb unit if they are not the same value as the ones on the circuit board of your ac unit and mount the correct value pots in their place. If they are the correct value already, then you are all set. The fan switch on the suburban unit looks like it will wire up the same, so it probably won't need the be swapped out, just extend your wires from the ones into the dash. Now, remove the potentiometers on your ac control unit and wire the board to the pots on the burb with enough wire to reach wherever you intend to hide the circuit board. I see there are also two switches on the original unit that the burb does not have, so you will need switches to do that same function, they look to be DPDT switches, so you can find some pretty easy and mount them somewhere on the fascia.
Now if there is no place to tuck the circuit board behind the unit in the overhead slot, you could just breadboard the circuit as it does not seem to contain many parts, just a few resistors, diode and transistors. This will make the circuit board much smaller and easier to hide. After this is all done, just extend your wires to the overhead console. You will also need to do the backlighting, but that should not be very hard.
This sounds like an interesting project, good luck!
Pictures off ebay of the the two units i used as comparison.
http://www.ebay.com/itm/96-97-98-99-silverado-sierra-climate-control-heater-AC-GMC-1500-2500-truck-Chevy-/230961034250?pt=Motors_Car_Truck_Parts_Accessories&hash=item35c659b40a
http://www.ebay.com/itm/97-CHEVY-GMC-SUBURBAN-YUKON-TAHOE-OVERHEAD-HEATER-AC-CONTROL-/170616796720?pt=Motors_Car_Truck_Parts_Accessories&hash=item27b98db630&vxp=mtr