Or a non-Constitution like the Reliant?
Oh! Oh! USS Pioneer NCC-1500! its the TOS era STO easter egg also tucked away in the PIC's starfleet museum. I just really like the sort of side kick hero ship vibes the class has compared to other alternate-TOS era designs I've seen.
While I welcome the more flexible interpretation of TOS visuals to make a world that is more immersive and functional while still keeping the color, and perceived campiness, I'd draw a hard line against making a genuine "Re-TOS" as it were. The idea of overwriting, or demoting old performances strikes me as a path to perpetual reboots and origin story retellings like we see with comic book superhero's, and seems a tad rude to trek's own past and how it got here.
Its also pretty unnecessary, folks often talk about how they want to see the old stories updated for a modern audience, but its often the case that the same stories have been retold with different characters and places already throughout trek's subsequent series, and as a result we are flush with ways to retell TOS's hit scenarios without crossing that line. Naked Time(TOS) vs Naked Now(TNG) vs Singularity(ENT) would be a commonly cited example, and we even already saw SNW demonstrate one such way to go about this with "a quality of mercy" a time traveling what-if reimagining of "balance of terror" had pike been captain and not kirk.
I accept and expect paramount to still be making at least one show set in the 23rd century for as long as SNW and its successors do well, but these should be used to look forward and expand on the time period not backwards at where we've already gone before.
C'mon mate that's quitter talk, making the mess make sense is half the fun of startrek continuity. Plus as time has gone on and the teams involved have gained hands on experience making trek the contributions have progressively gotten more constructive with the continuity rather than combative.
Technically that's already been done with TAS... Would a TAS remaster similar to TOS-R be out of the question? basically keep the voice acting (and other sfx since I expect it can't be isolated) but reanimate it from the ground up?