Right, I get that, but at the same time how can we expect them to buy something or commit cold hard cash when they are pretty much in the dark?
For a motivated big company, cold hard cash isn't as hard to come by as you might think.
As for now, the only thing I can do is echo how absolutely crucial it is for you to have a knowledgable lawyer on your side RIGHT NOW. Get several on the phone today, and make a decision as soon as you can. If you're in the Dallas/Fort Worth area, I can make a recommendation but please, please do this.
Bottom line, make a deal that is a WIN WIN and doesn't put you at huge risk w/o some offset you consider reasonable or don't do a deal at all.
You do not have an easy road ahead, but you can at least avoid a disaster. Remember, your BATNA is continuing your startup as if you'd never been approached!