I get Google alerts emailed throughout the day. Some days the mail can be pretty overwhelming, but I read every of them.
My suggestion is this. Can Google offer a "stop email delivery" service for this? Can I stop my email for a determined amount of time, and deliver when I request it? This is the same concept of stopping your mail when you're out of town.
When I check my mail via my Treo and I'm traveling, the mail gets so backed up from just from my Google alerts, and I miss seeing the email that requires immediate response.
Just a thought.