I've been on the hiring side as a manager in a number of companies, and I've NEVER seen a situation where a candidate was so uniquely awesome that the company was willing to make an offer drastically larger than their normal range for that role. A bit more? Sure. Some more stock or something? Often. But not, say, 50% more salary than anyone else at that level is getting.
After many years in this industry on both the candidate and hiring manager side, I believe that it's in everyone's best interest to make sure you can at least get in the right ballpark early in the process before you waste everyone time.