DeSantis is ethically free to name anyone he wants, assuming no conflict of interest. If he wants to name Lara Trump, I see no ethical issue. None. Who are these people who think they are the self-appointed moral arbiters anyway?
Including himself, which would probably be the best pick.
And if he wasnt to avoid any appearance of impropriety, he could resign his governorship and allow Lt. Gov. Jeanette Núñez to appoint him after she assumes the position.