There was a guy who put 17's on his 68 with RAII heads and complete suspension upgrades. It was in HPP a few years ago, maybe longer. I have the magazine, and will forward the year and month so you can look it up online.
Yes, the quality of the ride will decrease, but with wheel and tire mods, I would highly suggest a complimentary upgrade of the shocks, sway bars, bushings.
The article will point you in a good direction as to what worked for him.
Si Vis Pacem Parabellum
1967 Starlight black PMD Engineering 400 Auto 1968 Alpine Blue 400 4 speed 1968 Verdoro Green 400 HO 4 speed 2013 1LE 2SS/RS Inferno Orange Camaro.