I've been in pursuit of a good startup idea lately. I went through a long list I had and deleted everything. None were good enough. Finding a good idea is really hard.
One way that I think about it is that a good idea has to be the intersection of a few things.
When you add more and more things to the intersection, it actually gets quite small, quite rapidly.
Something like an internship would be a large investment of time that doesn't feel like it's worth the possibility of finding a startup idea.
I guess talking to people makes sense. I was thinking at first that it'd require more context than a lunch meeting, more like a dozen hours, but on second thought you could probably at least get a sense of where the paths worth exploring more deeply are (and aren't) in a lunch meeting.