Only one that i know is yobit and i've got accounts on pretty much every major exchange. And i can tell you that all established exchanges do not need faucets to bring in customers since they are so popular anyways, and only yobit does it because otherwise they're just a shitty exchange with no additional features, alongside with a support team that does not do anything useful.

If you really want, just use like a faucet rotator to collect from mulitple faucets, accumulate that into a faucet payment system, and send the deposit to your exchange.

But it's a tiresome process that does not pay well. So i would definitely avoid if possible.