Quick, when you think of aspirin, what comes to mind? Is it baseball? The folks at Bayer HealthCare sure hope so. Communications folks from The New Jersey based company recently out and brought my attention to a new campaign it recently launched, called Speed Up Your Relief. This campaign is an attempt by Bayer Advanced Aspirin to leverage its new role as the “Official Pain Reliever of Major League Baseball.” How The Sponsorship Works Through the Speed Up Your Relief campaign, the company has pledged to donate $10 to the Red Cross for every strike 95 mph and over thrown during the remainder of the 2011 Major League Baseball regular and post season.…