Agree with FM,
If you goal is Biz Jet flying then work your way up through General Aviation. Tis way you will learn how to make things work out even when support is far away. Bush flying, co pilot time Metroliners, command time etc will all be useful for your future Biz Jet job. Also through General Aviation jobs you are likely to actually meet biz jet pilots around at the smaller airports and that way get some advices and hint on what going on etc.
Set aside a couple of years doing general flying whereever you may be able to land a job that pays you will you gain experience.
And if you already now know that its the biz jet part of the aviation industry you wanna go, then just forget about airlines and boring big jets. I spend 11 years in the airline industry and it freakin' boring compared to biz jet flying.
Good luck with it.