In 1965 automatics were slip yokes, but all 4-speeds were ball & trunion. I think all manuals were, like CMKirk's car is. It may not be the case these days, but many years ago the pushbutton-shift guys would maul each other like Black Friday to get a '65 trans--the only cable-operated slip-yoke A727.
The car has a Detroit 7260 series U-joint out back, so a 904, 3-speed, or almost any non-truck A833 overdrive slip yoke would work (there were a few oddball A/F-body A833ODs with 30-spline outputs). If you're having a driveshaft made, it should come with a slip yoke (all mine did, but depending on vendor it might be optional). Just make sure they're aware you need the overdrive/904 yoke for a 7260 joint.