Let's make a few assumptions:
1. Perk will be back between ASB and playoffs in time to be the backup center for a playoff run.
2. Means we need a starting center
3. Gomes would get some run at both forward spots
4. If the C's don't bring back Ray Allen, they need a SG as biggest priority
Criteria for bringing back Gomes is then:
1. The C's can trade Sheed, Baby, TA, Nate and use MLE to fill starting center
2. Whatever is not used in (1) is used to replace Ray Allen
If the C's get that far and they have something like 50% of the MLE, you could see them signing Gomes (assuming he's down for that amount) - and probably assuming either TA or Nate made it through.
They'd also have to sign a third string center Vet Min to backup starter while Perkins rehabs and insurance in case he doesn't make it back.
So you'd have:
Start Center / Vet Min / Perk (when back)
KG / Gomes
Pierce / Gomes
Ray Allen (or Replacement) / Tony Allen or Nate / Pierce (big lineup)
Rondo / Tony or Nate / AB
The problem I have here is that Gomes has to be your 6th man - is he good enough for that? I don't think so. If they had another solid wing instead of TA or Nate behind Pierce and Allen to be 6th man, then I'd like it a lot better.