The holes in the back of the headstock will be 10mm (or 3/8") but I don't know whether PRS (or Eggle) drill 10mm all the way through or leave the hole a little narrower on the face of the headstock.
So, Schallers will definitely fit. If you want to use Sperzels or Planet Waves, they're the right size but need a 10mm hole right through the headstock, so you might need a bit of modification (which will be hidden by the tuner bushings anyway).
As Ratrod says, the fixing screws may not match the existing hole(s), whichever replacements you choose.
Just out of interest, how did you end up with Grovers? What was wrong with the original PRS tuners (or the Sperzels on the Eggle)?