Yes — apply in August to Pitt because they make decisions in a rolling basis and you will hear back quickly (within a month) and will have a solid acceptance in hand.
You should absolutely be admitted to Ohio State, but crazier things have happened this year and the earliest you will hear back is December. Some highly qualified in-state applicants didn’t hear until January, not because they were deferred but because all decisions weren’t made until then. If you get deferred by your ED school, you will feel more comfortable going into January if you have an acceptance (Pitt or another rolling admit) in hand.
Pitt has very strong pre-med programs, many research opportunities for undergrads, and a med school that teeters on top 10 in the country. It’s an acceptance you should feel really good about and can have in September is you apply early.
Edited to add: Applying early to Ohio State doesn’t seem to determine when you get your decision. If you read the posts from the last couple of years, some students who applied just before November 1 heard in December and some who applied earlier heard in January. There didn’t seem to a discernible reason as to who got a decision when.