360-2.02 valves Fit a 318 block with no clearance issues?

Yes! While rebuilding the 318, use something like the Keith Black Hyper pistons.
The KB-167 (someone correct me if I'm wrong)
They are a flat top piston with generous valve reliefs for such builds. You can mill the blocks deck to get these slugs at a zero deck height and use the 360 heads with excellent success.

This is a really good route to take for the 318! You will not be disappointed.