Junior BSGD here. Here's the information DigiPen is legally required to provide regarding the BSGD program's results:
https://www.digipen.edu/fileadmin/disclosures/BSGD.html
Notice that 75% of it is blank, because not enough BSGDs have graduated in the past few years to legally be able to post this stuff without disclosing personal information.
You see, by sophomore year the large pool of previously freshmen BSGDs is a damp patch on the pavement. A lot of freshmen drop out early in all programs, but a lot of freshmen BSGDs transfer programs when they realize that either the coding + math or the game design just isn't for them.
However, according to the few BSGDs I've talked to that came before me, the prospects of completing the program is pretty good, since you'll have enough coding experiences for a wide rage of programming jobs and enough design experience to get the jobs that RTIS grads often find too subjective (UI implementation/design, a variety of AI related fields, any programming title with "gameplay" in it, and so forth).
Just keep in mind that getting hired as a straight-up game designer, whatever that means anymore, is highly unlikely (it's also what a lot of BAGDs go for, so those few open spots are highly contested).