I sort of understand your desire to "stay away from regionals", but with as little total time & multi-engine experience as you have, you shouldn't be ignoring those opportunities if they present themselves.
Many current bizav pilots (myself included) went to a regional for 1-3 years before getting our existing jobs; it is a GREAT conduit for quickly gaining experience that makes your resume look better and your decisionmaking more professional and you won't get "airline stink" if you're continuing to network in bizav.
Good luck...