BIG END BOB
Your method is a good way to go if you want to do touch and goes. In the end I made the personal decision not to do touch and goes in complex aircraft for a couple of reasons.
1. I always insist that my students not to do ANYTHING untill the aircraft is clear of the runway. This is policy is pretty much a guarantee that the wheels will not be retracted on the ground or you will hit anything because you are head down doing stuff instead of looking where you are going. This policy has to be violated to do a touch and go and it represents a training inconsistancy I want to avoid.
2. A taxi back allows the student to relax for a second and mentally prepare for the takeoff and also allows the vital pretakeoff checks to be done in an unhurried and complete basis.
I also find this is the only time many students have any free brain cells which allows them to actually absorb the advice I am giving them.
3. IMO a touch and go bypasses an important part of the takeoff. Developing good habits in the monitoring of engine and flight instruments so that bad things will be detected early enough for an uneventfull on the runway RTO. I beat my students pretty hard to develop an efficent scan and get the required calls done properly.
OH Ya one other thing. I tell all students if they ever touch the gear lever when the aircraft is on the ground I will break all their fingers