Tangerine bumper Crop

We have a tangerine, technically a Satsuma, tree in the back yard. It produces only every other year and this year it is loaded with fruit. The limbs are so bent over it looks like they will snap. They are just starting to turn yellow. By next month they will be fully ripe.  I'd like to get another tree that would produce on the off years, but of course there is no way to control when they make fruit. The way my luck goes we would more likely get two trees producing on the same schedule.