I would not recommend Rye Grass seed, not much nutrition for the deer. If you meant Rye grain then that is a different story and I would go with it but consider a mix of rye grain, wheat and oats.
Wrenns Abruzzi rye will work just fine, I would not plant Ryman or Elbon rye, They just don't attract deer like Abruzzi. If you have sufficiant moisture in the ground it will come up in a matter of days. I too like to plant a mixture, but have planted rye by itself with good results in the past.
The product sweet spot is a rye grass,not grain that has high sugar rates and is said to be a good deer draw but its expensive. They often put rye grass in throw and grow type mixs cause it will grow on concrete. Like the others said abruzzi.