Try asking operators who don't hire sprogs (I.e. no singles) about where they typically get their pilots from... they will know people who are hiring. The company I work for have been hiring a few over the last couple of months and that has created a couple of station pilot vacancies.
When times are tough its all about who you know
. If you go and talk to people they might remember you if something comes up.
BTW, having an instructor rating will make you a better pilot, but don't let yourself and others suffer if you don't want to be there and therefore do a half arsed job of it. When instructing you will be judged by the quality of your students which is closely tied with effort on your part - a bad reference could follow you around for years!