I don't think the wheelbase is going to be the problem. It's the width of the track that is your big problem here. Probably not so much in the rear but almost definitely in the front.
Swapping frames is a big job, no matter what anyone says. Some are easier than others but nonetheless it is a big job. People seem to think they are saving time and money because you can just bolt an engine and trans in and you have modern brakes and suspension inherent with the swap. However a lot of people forget that in order to do it right you have to rebuild the suspension and brakes anyway. Not to mention the probability that the floor of the body will have to be modified etc.
Things to consider... when swapping frames there will be a significant amount of work involved to mount the body and front sheet metal properly. Also the choice of a donor car is very important for things like wheelbase and width. Nothing looks as bad as a 30's or 40's car with the tires sticking out of the fenders. Unless of course you're from East LA.
If the frame on your car is in decent shape and not hacked up by a previous owner I would suggest you go with an aftermarket front suspension and a leaf spring rear suspension. That would probably be the easiest for someone who has never done something like this before. Of course it depends on what you intend to use the car for, but if you're building a driver that is what I would recommend.
You also have the option of installing a front clip. A Nova clip would probably fit your tires inside the fenders without any weird wheel backspacing and would be relatively simple to install. But... and it's a big but... a lot of care should be used when installing a clip. It is much easier to screw it up than most people think and for heaven's sake if your not an experienced welder, have one do the welding for you. Your safety as well as the safety of everyone else on the road depends on it.
You're going to get a lot of suggestions and there are a lot of schools of thought on this subject so I'll get down off my soapbox now.