The schedule of the NBA Finals starting on June 1 (Thu) in the US won't be as tight as the conference finals, with around two to three days' rest in between games. If Boston makes the historic reverse sweep, they'll have homecourt advantage over Denver. If not, Denver will host Miami for Game 1 next Friday.
No disrespect to the Miami fans, but a Celtics-Nuggets Finals seems more entertaining. In terms of personnel, Boston can match up against Denver better than the Heat.