I've found myself doing the same thing. I am not changing my configuration for your website to get past a nag screen. If it doesn't work, I'll go somewhere else. There are very few pieces of information on the Internet that are exclusive to one source.

On the other hand, do an exemplary job, and I'll seriously consider donating or buying merchandise. I've chipped money to Wikipedia, Reddit, and LWN, as well as Debian, the FSF and the EFF. Not everything needs to be for profit, and not every website is entitled to making money. If the work you do is important enough, it will find a way.