Just a question.. do you have an Ohio resident CHL? If so, why are you renewing your Pennsylvania non-resident permit?
I am not aware of any states you will gain reciprocity with by renewing your Pennsylvania license. The only thing that makes sense to renew your PA permit is if you plan to travel to a state that gained reciprocity with Ohio after 3/22/2015 and your permit for Ohio was issued prior to that and is not ready for renewal.
If you do want to renew your PA license and you are in NE Ohio your best bet is Erie County. You have to go in person to the Erie County Courthouse (located near Gannon University). It is $20 cash and helps to have your paperwork already completed. Bring a self addressed envelope and they will take your picture, run the background check, create the license and mail it to you. It normally only takes a couple of days to receive it in the mail.
Erie Co. Sheriff's Office website for further details and contact information.
By the way, I love Centre County! Beautiful area! However, definitely don't have to drive out there to renew your license. Jump on I-90 and head to Erie!