WILL F70 RED LINES FIT STOCK 67 BARRACUDA?

Check out Diamondback tires. They do custom tires, can get you any redline you want. I have seen them do drag radial redlines. dbtires.com, or google custom redline tires.
And if you have tires on the rims you want to use, just turn the wheel so that it is closest to the front edge of the wheelwell opening, then add 1/2 the extra height that a f70 has, compaired to the tires you have, and see if it will clear. The tight spot on all a-body barracudas is the front edge.
Edit: check Both sides!