Yeah, ditch your EOS.
You need to use a small format camera that doesn't attract attention. If they don't know what it is, and it's small enough, you can get away with a lot.
If you got an Olympus E-P1, an adapter ring for Micro Four Thirds, and slapped on a 70-300 Zuiko you would get the equivalent of a 140-600mm zoom. Of course, good luck with fast AF, and you won't get anywhere near as good quality as, say, a 1Ds3 + 400/2.8L IS, but then again, you're not trying to get on the cover of SI, now are you?
People who impose size restrictions on camera equipment don't really understand that you can have a camera that is extremely small yet have a great deal of focal length if it is designed toward that goal. And on some level, they don't care--what matters is that Joe Sixpack isn't going to walk into a crowded stadium with $14000 and 15 pounds of camera equipment, obstructing the view of other attendees and perhaps exposing the managers to some liability.
Oh, don't get me wrong, it's all about image control, publication rights, and all that kind of nasty stuff too. But it doesn't matter--if you're willing to spend $1500 on a lens, you may as well spend roughly the same amount of money on something that is small, strange, and flies under the radar, relatively speaking.