They are probably going to win the auction + gas fees included, but they would probably need more money to protect it than just simply 'owning it'.
> The eventual home must have the expertise to properly house, store, and maintain the artifact. Additionally, the community has expressed strong preferences for institutions that are free to the public and willing to cover the costs associated with housing the document.
The problem with DAOs is 'trust' which they are vulnerable to this trust being abused. Hence, I'm afraid that such 'DAOs' don't have a good history of being trustworthy, especially when there is little to no regulations involved, but we'll see.
Maybe to launder the $30M, would be to mint the Constitution as an NFT perhaps?