The constant "I want to avoid the regionals"...which is the #1 supplier of pilots to the majors. Why do people think there's some magic opportunity out there that will shortcut the process most use to get to the majors???
Jets are different than turboprops. You're in a small pool if you think the majors are dying to hire PC-12 and King Air pilots. Those aren't the resumes they desire. Do some get hired? Absolutely.
Make some future resumes based on crossing different jobs. Write down what your resume would look like in 2, 3, 4, 5 years if you took the various jobs. Garbage in, garbage out - be realitistic about what flying you'd get, how many hours, how much PIC/TPIC time you'd get, etc, etc. Find out what, or ask, what you think the typical new hire resume is like. Making job choices thinking that you'd get hired by a Big 3 with 1800 hrs TT and no real TPIC totals, no 121 training, no military training, is foolish. You'd make poor choices. You get to probably 3,000 TT, 1000 hrs 121, and you're probably at the lower tier of what the Big 3 are looking for. If you're fortunate enough to ge to Frontier with 1800-2000 hrs go for it. Keep your foot on the gas and keep updating to more desirable airlines as your resume improves. Update at least monthl until you have no plans on ever leaving.