Alright, here is what I found:
AR 350-1 Chapter 1-24:
(4) Personnel with permanent medical profiles that preclude participation in the pushup or situp event will take the remaining events if a physician or physician’s assistant approves. The 2-mile run event, or an approved alternate test event as outlined in FM 21–20, must be taken if the test is for record. The alternate test is for Soldiers with permanent physical profiles that prevent them from running 2 miles. Soldiers with temporary profiles of long duration (more than 3 months) may also take an alternate test if approved by the commander and health care personnel. Soldiers must be given 3 months to prepare for the alternate test from either the date of the profile or the date recommended by health care personnel.
Bold by me. Please note that this timeline is for the alternate aerobic event only. I could find no other timeline with the exception of recovery phase, which you do not fall under if you received a permanent.