I feel your pain. I'm not too worried about the Valiant beyond looks. I have SBP Centerlines with drag radials out back and pizza cutters on the front for track use, but it'll never see corners with any enthusiasm. My Challenger was a different story. I wanted more of a corner-burner and there's literally not a good 15" tire for the twisties in a musclecar size. As much as I dislike huge wheels (and outright hate "rubber band" tires), I ended up ordering custom-made Minilite replicas for the E-body in 17x8. The tires are sticky 255/50R-16s Nittos. Looks-wise, I think I ended up with a pretty good rim/sidewall ratio. There's enough cross-section and contact patch to have some fun without modifying anything for clearance.
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Unfortunately, the company that made my wheels got bought by Coker Tire, who immediately shut them down. The Minilite replicas they sell now are much different (and worse, in my estimation).