Lots of intermediate terrain at Killington. Stowe's best terrain is the more advanced stuff. You many also consider Sugarbush, two mountains with lots of combined terrain and plenty of intermediate trails. The further north you go the more snow they get.
Stowe has a ton of intermediate terrain.
A strong intermediatE can ski the front four now that they blew it up to make its smooth. The terrain where the Gondi is I would consider not difficult intermediate. It's nice but dull.
Spruce is awesome for any skier who just wants to go. It's easy and pleasant.
I think that you should go to Waitsfield and ski Sugarbush. And ski Mad River too if you are able to fit it in. The place is magical. The single is quick and so cool. I think the lodge is the best because it's old school VT. If you are free to drink a few beers do it on the deck. Great music with true Vermonters and dedicated skiers. It's the heart and soul of skiing in New England (in my opinion). Don't go on the weekend.
I advise, if you take a lesson, take it there - MRG.
And finally, to drive to Vermont from Ohio and then ski Okemo... that would be a shame.