If your budget tops out at $2000, and IF you can run a CD player balanced in your system, then purchase a used Ayre CX7e (be sure to get an "evolution" model). You will not miss SACD (in the sub-$2000 players). For the money in the used market, this player is hard to beat.
Good luck in your "hypothetical" quest. :-)
Good luck in your "hypothetical" quest. :-)