As far as I know, every cabinet saw (the one the OP has), or for that matter, every table saw, sold in North America comes with a miter gauge, and a miter gauge is for cross cutting. Cross cutting is a standard and safe operation on any table saw as long as the operator knows how to use it. Every machine has its limitations, but a board that's just over 30", say 8" by 40" or 50", can be handled easily on a cabinet saw -- by hobbyists or tradespeople. Of course, even a hammer can hurt someone badly if they don't know how to use it properly.
To cross cut a piece with the fence safely, simply clamp a stop block to the fence. This basic technique has been covered in countless videos and magazines. Anyone who has watched New Yankee Workshop knows Norm did that all the time especially when he cut tenons on the table saw -- another important use of cross cutting on the table saw for those who make tenons in such a manner. Since I have the JessEm stock guides, I often use one of the roller guides as a stop block when I use the miter gauge.
Over 95% of the time -- at least for me --it's cross cutting when ones uses a cross-cut sled...that's why a cross-cut sled is called as such. So, in short, cross cutting on the table saw is nothing new or unusual.
As for alternatives or suggestions, yes, the OP can cross cut a long stock...with other tools such as a bandsaw, a jigsaw, or even hack...a hack saw too. [tongue] And no one is disputing the fact that a miter saw -- which the OP doesn't say whether he has one -- is great for cross cutting. Especially when it comes to "repeatedly" (assuming that means multiple pieces to the same length, not just cross cutting multiple times).