68 Barracuda. How Big Can I Go? Rim and Tire?

In general Barracuda's have the same size wheelhouse as Dusters/Demons/Dart Sports, namely about 1" more space in the back than a hardtop Dart does. With everything in the stock location (springs, quarter lip) I wouldn't recommend going past 275mm wide. But ride height play big into that, and I give recommendations based on the wheels being inside the wheel wells, not below them with high arch springs.

A better question might be, how much tire does it take to break a SBP 7.25" rear axle with 7/16" wheel studs.

I would love to see some 17's or 18's on a 67-69 Barracuda

There are quite a few here already, @khuebner250 and @mosleyme come to mind

khuebner

18x9, 18x10 Toyo r888r 275/35/18 335/30/18
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mosleyme

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I've got more but with the "bookmark" feature missing at the moment those are the first two that come to mind