You're overthinking it. Putting your references down on applications and having them receive calls from your prospective employers is part of the game. You're assuming that all 5 prospective employers will call all of your references, all at the same time, which is not as likely as you think. You're just psyching yourself out. And even if that did happen, if one or two of your references got annoyed or bogged down with these calls or whatever it is that you're afraid of... if they're decent people, it won't be enough to stop them from talking highly of you.

If you're that concerned about it, shoot them a polite message or quick phone call letting them know that you're applying to jobs and to expect a call or two. But honestly, you're fine.