Look at the Business Source license — they do that. (I'm doing the same with my project: AGPL —> GPL some years later.)
Best wishes :- )
All versions of AGPL allow both non-commercial and commercial usage. (And one needs to share-alike one's modifications.)
In any case I like the idea to be free for charities and public research :- ) You work with something like that? Is AGPL ok with you, or you're worried it might require you to open-source parts of your platform?
AGPL requires all users to open-source their projects using your work, even if they don't modify your work. It is an extension of GPL not LGPL. If my web application uses an AGPL library, it's a derivative work.
I, like many in my field, work in a small team with almost no budget. My current project involves collecting sensitive (medical) data over the internet. The cost and risk involved in open-sourcing our application is prohibitive.
However, it's slightly less relevant for your project, as I can't see much value in directly integrating it into another application :) This is more a problem we run into with AGPL libraries, not AGPL applications.