What Joey said
Bowing alley lighting is DIFFICULT!
If you have a speedlight I'd bounce it off the ceiling or side wall. Otherwise, if it was me I'd shoot aperture priority with my largest aperture (smallest f/ #) with a high ISO and make sure my shutter speed sticks somewhere around 1/125. Best of luck and let us know how it goes.
You can shoot with a wide aperture and still get more in focus by leaving plenty of space between you and your subject. KWIM?