Sounds like OP's car is a roller and the case is closed, but here's my .02 as this is an interesting question -- with some above-normal complexities due to being a 65.
Trans is a mild complication as it would be cableshift, and some engines might need external balancing, and attention must be paid to the torque converter, as 66-older are a different spline count, and none came OEM for any external balanced engines. So depending on what engine might be installed, either the weight needs welded on the TC, or welded to the flexplate, or get a B&M special-weighted flexplate.
Whatever engine is selected would require the special driverside motormount to fit the engine. (the 65 C-body is different from 66-up)
Given the option of a Poly or Magnum, I'd choose Magnum. (or an 88-92-ish LA with -302/-308 heads would be a 2nd choice). Newer engines almost always have heads that are superior for combustion, and that gives better hp and mpg (70s engines are an exception of course, but anything from late 80s and newer will burn better). For modern heads, lower emissions, better mpg and more hp all are hand-in-hand.
318s and 5.2 are all internally-balanced and would install 'perfectly' to an original SB trans/converter.
360 and 5.9 Magnum are externally-balanced, and are not balanced the same, either.
Any Magnum is going to require extra work for either EFI, or a carb manifold, and might need some swap-out of the front cover and belt-drive setup. There are a LOT of details/differences involved here, far more than I can remember and/or type. (if you look me up on Dippy.org, I did some write-ups on there years ago).
If you wanted a nice driver with decent power and mpg, I'd go 5.2 Magnum.
For more power, I'd go with 5.9 Magnum. It would be 100lbs lighter than a 383, and I'd bet makes almost as much power.
A 383 would be an easy balance of power vs installation ease - but not growing on trees anymore!
318 Poly - 230hp SAE gross
most 318s - approx. 150hp SAE net
5.2 Magnum - 220-230hp net
5.9 Magnum 230-245hp net
'plain' 383 - 270 - 325 hp gross depending on heads/CR/carb
But a project like this is really based on your time, budget, goals, and ability to scrounge parts.