Is there a free-for-corporate use under XX revenue or limited time license one can pack with an AGPLv3 project? Something that doesn't block people, even businesses, from using the project during the growth stage but also doesn't give away all your rights or ability to get paid later?

The copyright holder is free to grant use under any license they like to whoever they like.

It's rare but I've seen a number of projects over the years that have a hard copyleft license along with a line in the readme like "Want to use this with a different license? Send me an email and we'll sort it out"