How do you shop your screenplay to Spike Lee?

Answer 1

Research all the contact details you can and send a printed copy of your script.

Before you send it, however, copyright it or register it, to protect your interests. As well, work with an attorney to craft a cover letter absolving Mr Lee of any conflict that may exist based on his reading of your script. (If he already has access to a script with basically the same story as yours, he doesn't want you to sue him.)

In completing your research, look for contacts for his agent, his business manager, his attorney, his CPA and so forth.

For example, you can pitch your script to producers and actors who work with Spike Lee.

As an 'outsider', there is no guaranteed direct route to any celebrity. Competition for script-reading time is intense. But if you persist, and your script is absolutely top quality, you never know what can happen.