We have 20 something investors and on a given month there are ~2 that send more than one e-mail, 5 that send 1 e-mail, and basically nothing from all of the rest. I don't feel a burden, tbh. I like it, when I need help I get it - and I have a few really solid mentors in the group.
The only pain is at series A when I'm going to have to go get all of them to sign the closing docs. That'll be hard.