This one's been debated, discussed, dissected, and disagreed with over the years.
Answer is simple.... you probably can.
It depends on the airline, the city, and mostly the TSA agents you run into. Odds are about 90% favorable, and some airlines have a better record than others, but that's really a TSA co-incidence, not the airline itself unless you are going thru security at a checkpoint that only serves that particular airline (like Phoenix for example). Agents won't stop you... They won't even know. There are no airlines that specifically prohibit bowling balls.
Personally, I've been stopped only one time, San Diego outbound to Nats, because TSA said they couldn't see thru the object. After 2-3 minutes of insulting his heritage, he let me thru.
With all the success stories, you've got a great chance of having no trouble at all, but it is, based on all reports, not a 100% percent lock....