I cant say I've ever planted alfalfa but from what I've read it does better in sandier or drier areas than clover.
Their tap roots can get up to 10 ft long!
It's also supposed to live a little longer than clover.
It needs more clippings than clover so unless you have heavy grazing it might be more maint.
I've read its best to plant in August in northern regions because the frost will take care of the competing weeds at the right time.
Genesis 27:3 Take your bow and quiver full of arrows out into the open country, and hunt some wild game.....