'69 Barracuda T56 swap, floor, cross member
I’m not sure it’s quite as bad as you think, but I could be wrong.
First, I don’t think your transmission is much different in its location than mine is. You can see that there’s just a sliver of mounting slot open here at the back of my crossmember and we use the same crossmember. I can’t quite tell looking at your pictures, but unless there was a change to the crossmember slots for the transmission mount I’d say our transmissions aren’t more than a 1/2” different in location because that’s about all there is for mine to go further back.
Next up is the floor clearance, where exactly is the interference on your car? Because you do have some room to raise the floor still, especially if the interference is at or behind the pinch. Changing the angle on the tunnel still will give you some room, and that can be done with some relief cuts/pie sections.
You can’t buy a ton of real estate if the interference is right at or in front of the pinch if it’s directly in the middle, but there’s some room there. And if the interference isn’t directly in the middle you have more room. On mine I know I made the tunnel a bit more square, and you have room to add there out toward the end of the ducts.
And the ducts are well, ducts. Even if the floor can’t move far enough without getting into the ducts, a pie shaped cut on the duct to oval the profile more wouldn’t render it ineffective
I have the later style heater box so that’s different on my car. And I have the QuickTime bell housing, is that a Silver Sport bell in yours?