There aren't really many tricks like calling. I am not sure that will help. Probably won't hurt but I don't think they are making it intentionally tough. It's certainly not a place where they are looking for "extra effort" and to see who is willing to grovel for a job.
They want quality people who have some relevant experience. And I believe they are now looking for ATP mins. So if you don't have that it might be an issue.
The ATP mins are going to really really put a squeeze on the whole regional industry and some of the weaker companies are going to have trouble hiring pilots.