There is no reason you can't get a re-entry on a single entry tourist visa where you're stamped in for 60 days.
As long as you know it's not adding any days to your stay, just lets you exit/re-enter and get the same expiration date of the stamp you have now..
And as
@Steve *******
said, get your 30 day extension on that 60 day tourist visa entry FIRST so that the re-entry permit is good until that expiration date