Fittings from the trans case are NPT pipe thread, although offhand don't recall if it's 1/8" or 1/4" , should be apparent at a glance.
Another Option,
Aeroquip #FCM2963 is an adapter fitting that is -06AN male flare on one end, and a 5/8"-18 inverted male thread on the opposite end.
5/8"-18 is the Inv Flare thread size used for 5/16" OD tubing.
And a final option, take a common 5/16" OD Inv Flare adapter (male or female NPT opposite end), and mate it to a common 6AN flare adapter (female or male opposite end). Functionally equivalent to the Aeroquip #FCM2963, but longer length.
In my own case, I'm planning to keep the stock steel 5/16" tranny lines up to the Inv Flare unions near the radiator, and then use the Aeroquip FCM2963 adapter to allow 6AN Aeroquip Socketless Hose & fittings for the final runs to the external tranny filter & cooler.