Camshaft suggestions
If your goal is just to be able to cruise around the rest of the summer, I'm going to suggest a different direction for the time being. If your not going to track the car and just enjoy it for now, you'd probably be best served to find a garden variety 318 and swap your present distributor to it to keep the HEI. I'd even stay with the two barrel. Not everything has to be a hot rod, yet... And here's why. Until you find a good 8-1/4 rear axle with 2.94 gears, you don't need a lot of 360 right now, the 7-1/4 will be a ticking time bomb... This would give you free time to get an axle to put in this winter, and get into your 360, because it sounds like it needs going through. Once you get into it, see what you have inside that is salvageable. If it's good, reuse it. Whatever you can, save $$$ for the important stuff. If you want to learn, go to Rusty Rat Rod's article on hot rod bliss and also check out 318willrun's page for porting directions on your 675 heads. Most of the time, unless they've had a heavy cut, 675 heads have a lot larger chamber than they are supposed to, as in 63-68cc's instead of 58-62cc. Measure them and find out. If the bores are round and straight and still have most of their cross hatch, get some garden variety flat top four relief pistons and a set of rings, and dingleberry hone. Plan on a head gasket for a 9:1 compression. Summit Racing has a compression calculator that will get you close, but look up the advertised gasket volume, add it to the piston dish/valve relief volume and use a zero in the gasket thickness. The gasket will have more volume than the calculator will show based on the bore and the compression will come up lower than targeted. With 318 heads, 2.94 gears, and air gap with the QT carb, you'd have a happy cruising street engine, I'd use this handy grind from Lunati, about right for a set of mildly ported 318 heads, 360 street cruiser. It's on the mild side, but good with stock converter 2.94 gear combination.
Street Master Hydraulic Flat Tappet Cam - Chrysler 273-360 266/266
If your wanting to stay on the mild side of a good driver/street combination with good and keep the budget down, this may be the best route to go, depending on how much time and $$$ you want to invest.