Well, to train for strength, you want to keep the reps relatively low, no more than 5 maybe 6 reps per set. So find an assistance exercise for the one arm push up that you can only get a few reps in for each arm. It is very possible and I would recommend training those other movements concurrently. For upper body strength, for example, you can do maybe 4 sets of 5 reps per arm for a one arm push up variation, then do a set of 10 pull ups. You can mix it up with pistols to give the upper body some rest and hit the legs.