Been there, done that. IMO you can do what you have been trying until by some chance you manage to push down the item jamming the drawer and move the drawer out. Sometimes it will slide back allowing more access to get other stuff out and make room. Aside from that, unless you can dismantle the draw slide mechanism from below and remove the drawer ?
Worse comes to worst you break the nottom of thw drawer, get everything out, then find out how much a replacement drawer would be.