You most definitely can put a 360 crank in, if it's machined for the 318 journals. You can buy them new and build yourself a 346. In fact the current Hemi is a 3.91 bore 3.58 stroke motor.
Parts you choose depends on your car, it's weight, the intended use, gearing, driving habits, etc.
I'm planning out my 318 build and I'm going VERY conservative compared to most. I would like to go the 3.58 stroke route if possible but I'll be happy to build a 318 as is with relatively mild parts. AJ/FormS I'm sure will chime in with his ideas on that.