One min a frame is nothing, gollum took 8 mins per frame and the ents took 48hrs per frame according to the special features on LOTR and that was with a massive render farm.

Ive had animations that took 60 mins per frame that were for a project, so one min isnt much time at all.

Depending on the legnth of the animation you could jsut leave it overnight, depending on how long you sleep for thats quite a few frames.