From what I understand the Enterprise and Klingon ship models were a great success with the Enterprise going on to be one of the most successful kits (if not the most) of its kind for years on end. It's possible that AMT might have gone for a similar arrangement a second time around if TOS had been continuing on to a fourth season. But with the show's budget being as tight as it was I doubt they would have been willing to spring on building another such mockup when--as I said before--they already had a perfectly good shuttlecraft mockup on hand. Another obstacle would be similar to the one faced when the original Class F design was built--MJ's original curvilinear design would have been too cost prohibitive to build so they had to come up with something less exotic. That same problem would still apply with any subsequent design for a mockup in a third or fourth seson of TOS.I don't know what the TOS shuttlecraft cost, but they didn't pay for it as AMT offered to be build the mockup in exchange for rights to the Star Trek model kits.
I'm aware of the AMT deal, but i'm wondering what the labor and materials cost, since we it might be safe to guess that one licensing deal for a then un-produced Galileo would not extend to another miniature (particularly if at the time, AMT did not know if it would be worth it). If Norway/Desilu had to generate another on its own, would it break the season budget--or would they jump in, and spend it on something they can use as much as desired?
That said I can imagine ways how that might have been gotten around, but it would still entail building some original set pieces as well as a new small filming miniature for long shots. A new shuttlecraft interior set could be built or at least part of one. And a partial exterior wherever the exterior access hatch would be located. They would then have had to work around those limitations. Another option would have been to build a miniature variation of the already existing Class F and use the existing interior set as a stand in.
Something like this perhaps.

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