Get one foot in the door
Spoolup,
Corporate is a great lifestyle if you get with the right company. You have a good chance of getting started if you have the right personality and are willing to move wherever you have to. Pay your dues and gain experience and a solid rep in the business. That will get you in most doors. Like the others stated, network, network, network... You can get lucky with persistence and being in the right place at the right time but networking will get you there quicker.
There are many corporations out there who operate smaller jets and t-props at the entry level. Most of them don't pay top dollar and are basically training grounds for beginners in our business. You need to find one of them and get your corporate, high altitude, and turbine experience. Target 500 series Citation operators and/or t-prop operators for your first job.
Some advice, don't try to go too fast. I've seen more than one yahooo fall into a good corp job too early in their career and then blow it because they "oversold" themselves. E.g., once, a friend was checking out a very junior bird man in a Challenger... right after takeoff they were issued a re-route... the newbie totally shut down. The checklist was all but forgotten, the sop's were a distant memory, etc... He also did some other stupid things that he probably would not normally do if he had taken the time to gain some valuable experience. Issuing incorrect fuel orders, (big mistake!!!), improper phraseology on the radios, accidentally shutting down the APU at engine start!, turning the interior lights to bright just before a night touchdown. (That impressed the captain!).
I got my first real corp flying gig at 2500 hours but times were much tougher back then. Few flying jobs and lots of pilots.
Never give up.
Good luck,