The variations are endless. I used to fly on 737 with Captains who would wait till max motoring or motor until the EGT was less than x or y or z, despite company published procedures. I think with all of this just do what you are told by your company (and HOPE that your company has cleared the procedure with the manufacturer.)
Regarding tailwind starts, I think I picked up from BM a few years back a simple and effective technique of starting with reversers deployed until N1 rotation - not approved but *** useful in a 60kt tailwind if you cannot be moved.