LA360 initial timing too high - are there different timing covers?

To answer your title, yes, I ran across 4 different timing covers:
www.forabodiesonly.com/mopar/threads/sb-timing-covers-info.96482/
A Magnum engine timing cover will also bolt-up, but if you use its water pump it should be spun in reverse direction from an LA (i.e. w/ serpentine belt backside).