Having Shorthairs myself, I wouldn't dream of not having a collar without a beeper for heavy cover. Even if you don't hunt heavy cover all the time, it's there if you need it.
I've never really had an issue with it spooking birds, but I usually just run "Point only" mode. In other words the beeper will only start to sound off if the dog is on point, otherwise it is silent. I also have a quick locate function that allows me to hear the tone upon using the locate button. If I'm in heavy cover I use this rather than the continuous 10 second interval beep.