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The concave wheels you see on C6's are typically on wide body cars. You won't see wheels with any reasonable concaveness on the base C6. Due to the offsets on the C7, it's impossible to get any reasonable concaveness without extending past the fenders.
What are you talking about? Deep concave = impossible, not impractical short of having some ridiculous off set so they protrude well beyond the fenders.
I know a thing or two about concave wheels. I had a set on my Z06 and if they existed for the C7, trust me, I'd have them on mine right now.
Hands down, my favorite wheel. If they could have been made to fit, I would have kept them for my C7.
An extra-wide wheel with spokes connected near the rim edge could make a concave wheel.
Or a wheel with a thinner hub mounting surface and spokes near the rim edge could make a concave wheel. And then a forged wheel could have a thinner hub mounting surface since it's a stronger wheel.
The C7 tuner might be looking for 9.5"/11" wide wheels at 51mm/74mm offset for the 265/305 tire sizes.
Now if a 305 tire works at 74mm wheel offset then a 315 tire will work at 79mm wheel offset. But I don't see very much tire selection in the 315 tire sizes. Then a 325 tire at 79mm wheel offset should stick out about 5mm. But that's 10"/12" wide wheels at 56mm/79mm offset for the 285/325 tire sizes. Well, improve the fitment with lowering to help tuck the tops of the tires. And them maybe add extra camber in addition to the lowering.
The Forgeline one-piece wheels are often deep concave.
And if an extra-wide wheel is not somewhat concave then it probably has a lip. But if shopping for custom wheels then there's the choice of a stepped lip or a flat lip
.