#6 THHN is only good for 65A in the simplest sense of "good for".
Both #6 NM and #6 THHN have a 75A base ampacity for when you need to derate for high ambient temperature (above 30C) or for more than 3 current carrying conductors in a cable or conduit.
However, #6 NM is limited to 55A as a final ampacity because of an NM-specific rule in the NEC. #6 THHN is limited to 65A as a final ampacity because of the terminations limits of equipment. [It would be possible, although extremely rare, to use #6 THHN at 75A if the wire doesn't terminate on equipment at either end, but is spliced to other larger conductors.]
For the OP, I absolutely suggest omitting a neutral for any EVSE circuits. The use of NEMA 14 receptacles for EVSE, while common, is stupid in my view. And wire is expensive these days.
I'd suggest using SEU cable, which is not subject to the extra limitation that NM cable is. Either 6-6-6 Cu SEU (somewhat hard to find) or 4-4-4 Al SEU. You'll end up with an oversized EGC, but I think it's the most cost effective cable option (aluminum typically being cheaper than the equivalent size (2 smaller) of copper).
Cheers, Wayne