Send "Request new password" email for individual users
If you'd create an appropriate view (using Views) of your users, wit whatever filter criteria you'd want, you could use that view to combine it with the Rules Link module. And with that you have the full power of the Rules module available also to implement whatever logic you'd want.

Refer to the accepted answer to "How to show authorized users a link for relevant Views results using the Rules Link module?" for an in depth explanation about using the Rules Link module, related to a scenario which is a variation of your question here (i.e. show a link to unblock blocked users).