Actually, taking a picture of the motherboard layout inside the case, the top of the case, the front of the case and the bottom inside of the case would be helpful. William is right, if that is a proprietary Dell motherboard, it's probably not going to fit a standard ATX or micro-ATX form factor case.
Of course, anything CAN be done, with enough modification, but adding cooling to the existing case it probably the easiest and cheapest recipe for solving your thermal issues. In fact, simply popping a hole in the side panel somewhere depending on the internal configuration, and mounting a fan there along with a cheap grill cover might be all it really needs.
I've done some pretty in depth modifications to those old style cases, and they CAN be made to flow a lot better than they do by design, but it's also going to require some time, patience and tools to do it. If you don't have, or have access to, either a dremel tool, 1.4" die grinder with a cutoff wheel, very large bi-metal holesaw or a really good jigsaw with a new blade, plus a drill and bits, and probably some sandpaper and spray paint, then it's going to be near impossible to do a good job. If you have any one of those tools though, it can be done.