FOX Sports has released the schedule for their Saturday games, and you can read the press release here. On June 8, you might get one of Padres/Rockies or Astros/Royals, for example, so maybe set your DVR now.
Using sabermetric principles, and possibly my fingers, I crunched the numbers to see which teams are getting the most national love from FOX.
I'm assuming the Blue Jays' snub is some sort of Canada thing, where FOX can't black out the games in a different country ... heck, I don't know. But it would be weird if FOX just forgot about them, especially considering their offseason.
And to answer your question: Five Yankees and Red Sox games. You know you were worried.