What exercises can I do to help me bowl faster?
Your weight training should involve anything that increases your overall strength and musculature of the arms and supportive muscles used in bowling, and that can be incrementally loaded.
So as an assumption, stuff that targets the back, shoulder capsule, core, posterior chain etc.
I'd suggest focusing on squats, deadlifts, and overhead press all using a barbell. Aim to become decently strong on these exercises relative to your bodyweight.