67 Barracuda Front Shocks - Reducing amount of bounce

For some reason, your post was not visible until after I posted the correction to my front tire size - mine IS 215/70 R14.
Notification by email even came in later.
Musta been some ai glitch.

That's still a 25.9" front tire, which is still pushing the limits for height with a Barracuda front wheel opening. Anything around 26" can be an issue depending on wheel backspace and ride height.

Since it only rubs at that angled transition with a turn, it's probably not mission critical that you replace them. Adding a sway bar will likely help a little bit, the rest will just be managing your speed and turning angle at that transition. Otherwise you're into fender modifications or shorter tires.