Anybody have experience donating?

I have oversupply and I'm considering donating milk, but I'm worried that pumping regularly (even for my own use, let alone extra for donation) will stimulate even more production. Some of our feeding sessions are already stressful for LO - coughing, gagging, dripping everywhere... so I'd hate to make that worse. But I figure the people who do it must usually be people with oversupply, so it must work out okay?

Anybody have experience with this?