P-F-T and instructing
Please, do yourself a favor and run board searches on Gulfstream and P-F-T. Neither is anything you want to do because it can very well endanger your career. There are no legitimate shortcuts to building an aviation career.
Having said that, so many people don't want to instruct. It is their prerogative, but I don't understand it. Perhaps it's because instructing means not flying the airplane much, and there goes all the fun, because flying the airplane is fun. Notwithstanding all the knowledge and experience you will gain when you are teaching a subject, there comes a time in your life when not everything can be fun. There comes a time when you actually have to work, and sometimes work is not always "fun.". But that doesn't mean that it cannot be satisfying, which can be a different form of fun.
I wasn't doing a whole lot of actual flying during my hours as as instructor, which, if you look to the left, were quite a few. Many of those hours were at ERAU with people very much like you. But, that does not mean that I did not have fun. I had fun working with (most of) my students. I derived a great deal of satisfaction when I soloed students, realizing that I had molded someone into a pilot. I derived similar satisfaction when my students passed their rides - and I enjoyed the same feeling as I saw them progress and achieve their goals. All this was fun. There's a lot to be said about exerting a positive influence on people.
As a practical matter, flight instructing is the most available entry-level piloting job around. There are so many 250-hour wiseguys who are so full of themselves that they have no doubt they will find a non-instructing job immediately. They change their tunes and get their CFIs as soon as they realize that there are tons of people like them looking for the same jobs. If you can get a non-instructing, non P-F-T job right out of school, more power to you. Just to be on the safe side, better get your CFI. It'll look good on your resume.
Good luck with your plans.