Any Model A rod is almost as old a tradition as there is in hot rodding. A Model A roadster on deuce rails ('32) is near quintessential.

To expand on Dave's comment, the '32 frame needs to be "pinched" at the cowl to match the way the A body tapers at the front, otherwise the frame sticks out almost an inch on either side of the front corners of the cowl. Also,tapered "stringers" need to be formed to fill the gap under the body as the bottom of the A is flat and the '32 rails have a slight arch. The frame would only need to be shortened if you insisted on the original A hood and fenders, but to my eye it would make the car look "stubby". If you intend on fenders there's no sense in doing the deuce frame. A custom hood to fit the chasis is the best way to go if you do a hiboy. Below is a pic of a '29 on '32 rails, it was originally built by Dick Megugorac, better known as Magoo. He was a master of these, through his shop he probably built a few hundred of them.

A hiboy A on an A frame looks a bit "skimpy", as the frame is of a narrower profile and is tucked under the body. The best solution I've seen for these is to put rolled side panels on the bottoms of the body sides and rear to create a smoother look.

Don't pass on a good '32 frame, good being the operative word, and even if the crossmembers are junk, the side rails are gold. If you have access to it, take it and store it. As you get deeper into this hobby it'll probably come in handy. Or.......................you could give it to me!