Is there the word, “Fortunity”? If there is, what does it mean?

SF's conjecture, fraternity, appears to be correct. I couldn't find the audio, but what I take to be either the transcript or the original from which the read story was adapted is here. Below is the portion corresponding to your transcript, with departures bolded and unincluded matter italicized:

Instead, airlines—particularly Delta—and charter companies cater to teams with tricked-out jets, handpicked flight attendants and meals from players' favorite restaurants, sometimes served on silver trays.

Team charters often used to amount to a fraternity party of beer, pizza and junk food, sometimes with guitar playing and rookie hazing, but airlines say the days of raucous party flights are gone. Many teams ban alcohol, have nutritionists select menus and set up plane interiors so coaches can study game films and players can sleep.

I conjecture that what you heard as “Sanchez” was probably “such as”.

For those whose cultural awareness does not extend to the ‘frat party’: this is a convivial assembly hosted by a 'fraternity', a university-based social club of sub-adult US males, and characterized principally by participants’ indulgence of their libidinal and appetitive impulses with as little restraint as circumstances permit.

The Oxford English Dictionary online has citations for fortunity from the fifteenth and seventeenth centuries, and the meaning is given as ‘fortune, hap’. If the word is making a comeback, it seems to be doing so with a rather different meaning. Is a fortunity party perhaps what used to be called a 'surprise party'?