I have some general criteria: less than $100k, not-location depended, preferably b2b, not physical product ect.
I believe you should look out for an agency to outsource the critical processes around running the show. The reason being, it would require much more than one partner/individual to actually run the show and trading everything for equity may not be a good idea.
On a separate not, at 366Pi, we, do, manage critical functional processes on behalf of our clients. Do let me know if you find it worthy enough to discuss further.