MLB.TV watchers do not have to worry.  If I'm reading this correctly, the hyped and delayed Sabathia vs. Price match-up does not fall under the FOX Saturday afternoon baseball exclusion.  From the Tampa Bay Rays website is the following:

"Regular Season Weekend U.S. National Live Blackout: Due to Major League Baseball exclusivities, live games occurring each Saturday with a scheduled start time after 1:10 PM ET or before 7:05 PM ET and each Sunday with a scheduled start time after 5:00 PM ET, will be blacked out in the United States (including the territories of Guam and the U.S. Virgin Islands). Live Audio of such games is available as part of any MLB.TV subscription or as part of the MLB.com Gameday Audio Package. Each game will be available 90 minutes after the conclusion of the game as an archived game (archived games are blackout free). "

The Rays game is set to start at 1:05 ET.  Therefore, those 5 minutes allow us to see what should be a very exciting matchup.