I'm in a similar boat, but finding having ~700hrs to be a double edged sword. Interviews and check rides go well, but the operators I've applied to seem to think the risk of me shooting through once over the 1000 mark is too high, and that the position would be better suited to someone with less experience.
The flip side is, I've got too few hours for a twin gig (only got about 50hrs multi) at most places.
The best thing IMHO is to keep your chin up and keep your eyes open. The one thing you can do that will improve your chances of getting a gig more than anything else is to keep applying! Take each knockback as a learning experience, thank them for their time and move on. You'll get it eventually.
On that note, anyone out there hiring?