Well first off I pleased to see that you are keeping all your options open and are not expecting to find yourself strapped to 737 within 90 days of finishing.
Making the rounds of the smaller operators in person, be it “bush”, courier contractors, small charter operators etc will sometimes produce results. It is often the case of the old adage, being in the right place at the right time. Flooding companies with resumes, in my opinion, is a real long shot unless you are responding to an ad or some specific opening that you have been made aware of. The one thing that seems to work though is networking. It’s certainly not a new idea nor does it require rocket science. Get out to some of the aviation events in your area. I couldn’t begin to count the number of jobs especially at that level that have been landed because somebody knew somebody who had met somebody…….
Attitude (yours not the aircrafts) will count for an awful lot at your success or lack of it in landing that all-important first job.
You might give some consideration to an instructors rating. It’s certainly not everyone’s cup of tea but it’s amazing how much you learn when you have to teach somebody else.
Oh, and your query about how your resume would stack up? Unfortunately it would be hard to tell it apart from the multitude of others that are in the pile which is why some face time can make a difference.
Best of luck with your course and your hunt.