The website Drunk Dial Congress makes it easy. All you have to do is type in your phone number and you'll receive a call connecting you with a random member of Congress.
The site even gives you talking points.
Need something stiffer before airing your grievances to an elected official? The site offers come Congress-inspired cocktails.
If you hang up feeling awesome and still slightly buzzed you may have some luck using one of the #GovernmentShutdownPickupLines to score a non-representative's number.
And if the call to Capitol Hill didn't go so well, maybe this site might offer some solace.