I know a guy who went to Purdue not long ago. He also had his private before going, not that it may matter all that much.
I don’t see how Purdue would be a bad choice, but keep options open. There are a host of schools just slightly less known than the biggies, Riddle, Purdue, UND, ect.. with some you may have to start at block one, even if you have your private license. A few years ago, one started further ahead at Purdue if already having the private.
I would take some flight training pronto, as able & $$ allows. Just a year or so ago I had read where the Purdue flight program filled up. As usual, apply early, there will be cancellations. Don’t make decisions based on my info, things change all the time.
Get your private & Uncle Sam may even take notice, provide options.