It sounds reasonable to me. Don't worry about what other bowlers are doing while you're learning the game. Work on developing good fundamentals; footwork, swing, timing, etc. then you can experiment with different speeds or whatever.
Three games a day shouldn't be a problem as long as the ball is the right weight and fits well. If you start getting blisters after a couple days have the pro check the fit. If your arm or any part thereof starts to hurt or ache then take some time off.
There was a thread a while back on exercises to strengthen wrists
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