Less than 3 years (in my opinion) is not enough time between the DUI and getting a permit. Basically, the courts are going to look for a pattern of "responsible" behavior.. i.e., a couple of speeding tickets are ok (none recent), but repeated tickets for going WELL over the speed limit, reckless driving, etc. Those are going to hurt you. How could you possibly handle a firearm responsibly when you can't even drive responsibly is what they will be asking themselves.
Also, (again, just my opinion), but if you apply and get rejected, that makes it harder to get accepted the second time. They'll dig up your old application and it might leave a bad taste in their mouth.
I dont have any examples to back my opinion up, but to me, I know how the police department application process works, and I'm sure the courts are thinking the same thing when issuing such a permit.
You might also give the prothonatary's office a ring and ask about it.
I'd wait at least until the 5 year mark passed before I applied if I were you.
Moosie