Bingo - "None, zero, zip, nada".... 10-12 weeks is phenomenal if you can. Work backwards from when the season starts, then the couple of weeks when you start throwing a bull pen to ramp up to full speed. This will help dictate when you should start the shut down so you get max rest.
Suggest you look into a reputable throwing program in your area. They'll be working key strength and balance in your lower half and back, as well as throwing patterns, so that the player is prime condition by the time he starts to throw. This can be down in addition to the off season strength program - just work in sufficient rest in between all workouts, and avoid doubling up on exercising the same body part.