While it seems like a technical grey area, doing so does not seem to pass a number of ethical tests museums should hold themselves too--both by the AAM and by the field as a whole. While this does not directly involve your own collections, I would still direct you to the AAM's guide page on selling collections as it still would be the most relevant guidance:
https://www.aam-us.org/programs/ethics-standards-and-professional-practices/questions-and-answers-about-selling-objects-from-the-collection/#:~:text=A%20museum%20may%20transfer%20an,direct%20care%20of%20the%20collection.
Yes, it is not your own collections and your museum may not have that direct intention to have a collections (at this point at least, who knows the decisions future generations will make), but the idea of museums is to hold items, knowledge, and experiences for the public trust and to share with the public. It is the failures of instituions to do so and violations of this public trust that has led bodies like the AAM to provide these more specific and restrictive ethical guidlines that, even when upholding, some museums have rightly drawn criticism for their actions. These are also the reasons museums are unable to ethically act as appraisers (also legally--it's prohibited by the IRS) which most often leads institutions to insure collections as a whole instead of indivudally ensuring pieces (things can get technically weird at times with traveling institutions and with loaned items, but in general that is the case).
Museums and selling artifacts should always retain a degree of actual separaration--even when it is not their own collections. Offering a veil of separation by having a for profit entity you are closely related to do the sale to get the same result but keep the museum's name off of it feels like it might avoid some of the legal restrictions and maybe skirt some of the ethical guidlines, but I would suggest that these technicalities are not a good enough shield for the ethical obligations the field should hold itself to. Ethical guidlines are a foundation we build better practice from; they are the minimum, and we should always strive to do more.