I have seen these but never owned one, as the later C3s are very fast and the proportions are better imo (but that's only my opinion).
That said, I have found that most tyco-pro era cars will accept later chassis, but
some are close/tight/not close enough. This one should, or more accurately,
might, take a "pan" type chassis.
How much do you love the body? How do you feel about modifying it?
If it were mine and that was the objective, I would decide what chassis I wanted to run (X2 in my case), find out what hits, and...remove it. Possibly the chassis choice will be dictated by what requires the least body material removal.
Supertires makes low profile tires, and/or then there is the old sandpaper around a pencil trick, for instance.
Another trick (or blasphemy, your choice) is to remove material from the chassis. I drop bodys, mostly noses of bodies, and for clearance (or lack of it) sometimes I have cut the pan x2 chassis as shown, for instance.