Most guys run a small Vintage air or other brand heat/air unit up behind the dash and if they use the A shell put the condenser behind the radiator or if they run a 32 shell put it in front of the radiator.
I’m installing a Gen II Mini in a ‘31 A Coupe with a ‘32 dash right now - should be about like installation in a Tudor I think (?). I cut out the stock A gas tank, which is what makes this installation possible. The center vent and control pad is their version made to fit the curve of the 32 dash. The side vents are the cheapest plastic ones they have. It fits, but as you know there is not much room under the A cowl. I mounted the compressor as low as possible and used their ez-clip lines, which are smaller diameter than the others and I was able to hide them behind the heater hoses on the 348 Chevy. I ran the heating and cooling lines through a 4-way bulkhead in the floor. The condenser fits just right in front of the ‘32 radiator, as designed. I put the trinary switch downstream from the receiver drier so it would all fit behind the grill. It’s not very noticeable when the grill is on. I’m just about done, but still have a little work to go, as you can see from the photos.
Here’s another take on AC vents in a Model A. Don’t know the guy’s name, but he’s in the Palm Springs area and used a nice panel under the ‘32 dash to mount the vents.
A/C in a Model A is a challenge due to limited space but really worth it on a July afternoon in Central CA. Tried to keep everything as much hidden as possible in wife's '31 pickup. '32 grille/hood hide condenser. Vintage Air unit. Good luck.
I have one in the shop with an under dash unit, kit was specific to Model A. Condenser is mounted under rear of car, compressor mounted to original 4 banger. If interested I will take photos tomorrow.