You say you just pulled the 904. Did it have a torque converter?
What level of modifications does the 360 engine have? Is it mostly stock?
if your 904 has the converter and it is neutral balance for the 318 it was behind, you can bolt it right up to the 360 engine using a flex plate that has the LA 360 balance offset built into it, like a B&M part number 10239. To make it cheaper, keep the torque converter and flex plate from the 318 setup and have a qualified local trans shop or converter rebuilder add the LA360 weight to your converter.