I think mcfarmall was being a little tongue-in-cheek, but probably the only way to resolve this, short of the hole in the platform, is to remove the drawer. Are the two drawers side-by-side? Perhaps, if so, you can remove the other one and reach behind the "stuck" drawer to remove the offending stuff. The drawers should be able to be removed from the front simply by pulling and moving them around a bit because there are probably stops near the front that are keeping the drawer from coming all the way out. As a last stop, you might give Jayco a call and ask them for some help with this situation.
2012 GMC 2500HD D/A Crewcab
2012 Jayco Eagle SuperLite HT 26.5 RLS
2009 Crestliner Superhawk 1900
2013 Polaris Sportsman 550 EXP
2008 Polaris Sportsman 700 X2