In response to sidewall stiffness, it's a bit relative and ppl's opinion will vary based on subjective experience. But seems like invos are believed to have soft sidewalls
Nitto Invos soft sidewall? - Corvette Forum
Nitto NT05 335 on Gen III/IV rear [Archive] - Viper Club of America Discussion Forums
Op already complained about v12 soft sidewalls, invo looks to be along that line. For the price and op's purpose, I say try DW. If op can afford it, go with PSS plain and simple.
Tire Test Results : Clash of the Titans: Testing Two New Max Performance Summer Heavy Hitters