I don't think there's much stopping him, honestly. Aesthetic designs don't have intellectual property protection in the US*, and it's not an official ship with an official name anyway. There's no legal barrier to selling a model of a spaceship called U.S.S. Ares. You could probably get away with even selling a model of the TOS Enterprise as long as the box said something like "Future Space Exploration Cruiser circa 2266" and not the trademarked phrases "Star Trek" or "
Starship Enterprise." That was a fairly common practice in aftermarket Star Trek model kits back in the day, though now that distribution is so much easier, people are a lot less circumspect about not using potentially-protected names or phrases. Getting a dozen resin kits you hand-molded smashed is a lot more trouble than having a 3D-printable model taken offline, especially since you can just reupload the latter with a different name.
Alec in particular might be limited by his legal agreement with Paramount/CBS, but IIRC, the restrictions were fairly narrow, mostly to get him to stop representing merch as official Star Trek product.
*This is why luxury brands can be so garishly over the top about their logos. There's nothing stopping you from selling a handbag that's exactly the same shape as a Louis Vuitton purse, but
their distinctive "LV" logo and patterns that are stitched, printed, or embossed into the material are protected under trademark law, so you can't legally duplicate that.