Hi Gunjack,
Did some bowling shoots before and am only sharing my little experience. Like any other indoor sports events, no flash as far as possible as can cause distraction and also may harm the players performance.
Due to this light conditions, you will generally need good aperture & high ASA for good shutter speed so as to freeze the moment of action. You may also like to consider some motion shots as well.
You may also like to consider a mixture of colour and black and white photos. Generally the light conditions are not good, so some black and white might be fun as it adds a certain mood/effect to the moment.
But this really honestly, I personally feel that this can all be very individual and client based as well.
For my events, I've used the following for both film & digital SLR:
Minimum aperture f2.8 or more
ISO 400-3200, but generally end up using 800-1600
Following are a just a few general samples for reference which i am allowed to release.
(They were all done with ambient light, no flash with various florescent filters to reduce to natural tones.
Film Used : Colour -ISO800 Fuji; Black & White-ISO 1600 & 3200 Delta, Shutter Speeds : 40-80).
These are just some really normal shots and not really good ones. Hope they can help give you some idea of what may be possible at your event.
Just my 2 cents worth.
Happy shooting!
Cheers!
Dagger