Drysuit is the right answer. I would recommend a non-PADI class, they teach an odd technique of using the drysuit to control buoyancy and they are about the only one that does it that way. There is already plenty of info on this board about it, use the search feature if you want to learn more.
If it has to be a wetsuit, given the location I would say a 7mm would be the most appropriate. They suck. There are some newer super stretchy materials on some of the higher end suits that are a little less sucky, but still not great. And by the time you are looking at one of those suits, you are really close to a drysuit. A drysuit will do the widest range of temperatures with the greatest comfort. The other week I was in my local lake. 100° air temps, 80° surface temp, 55° bottom temp. That is Arizona in July, not Ohio.
You will also want the drysuit if you want more than a few months of diving season.
PADI doesn't teach using the dry suit for buoyancy control per se. The online/textbook materials say that shell dry suit divers often use the suit for buoyancy control and the neoprene suit divers use the BCD primarily. I teach the students to use whichever they're comfortable with, if the suit allows it.
Not up to PADI standards today, but 30 years ago I had buddies that dove without BCD's at all, relying on their suit for all buoyancy control. It's not all that unusual to use the suit for buoyancy control where I dive.
There was a weird standard (not PADI, I think it was AAUS) at one point that was specific about using the dry suit for control. I can't recall if it required or prohibited it, but the concern was that one might get one's hand trapped against the inflator if the BCD inflated as you added air to the dry suit. That could lead to runaway inflation of the suit. This is the old days of BCD inflation generally being over the chest, not on the back. I was diving wetsuits back then, so didn't pay much attention beyond thinking "that's stupid, I can't see it ever happening."
And now that I've gone totally off-topic, here's some advice to the OP: Consider an Apollo neoprene drysuit. It has several advantages for your specific situation:
1. It's inexpensive compared to other suits. (I think the list price at my LDS is around $1,400.)
2. Neoprene is rugged. It's not easy to replace hood or wrist seals, but they're also not likely to fail.
3. Apollo's have extra dump valves on the ankles and left wrist. This can save you if you inadvertently get into a foot-up ascent, for example. Great for a "newby" still getting a handle on buoyancy control. Once you get used to the suit, you may find you don't want to use these "training wheels," at which point you can lock them in the closed position.