I'd like to state my feelings about this matter. Some might consider my analysis nievely optimistic. Before I go into detail however I'd first suggest getting all your certificates and ratings at a local FBO. You will probably spend less than half as much $ to go from PVT to MEI that you would at Delta Connection Academy or ERAU. Since you have a degree you all ready have one box checked on whatever major you want to apply to!
After obtaining the MEI with around 250-300 hrs total time I would build as much time as possible as quickly as possible by applying to flight schools that have a steady supply of students. In addition I would look into instructing at a school with Multi Engine training so you could build at least 100 hrs of Multi Time.
In my opinion I would bypass all but a few of the regional carriers. When you reach 600 hrs and 50 hrs Multi I would try to get on with Scenic Airlines or after 1200 hours and 50 hrs multi some of the freight operators that have quick upgrads to pilot in command in turbine aircraft like Ameriflight.
At scenic you will upgrade to PIC very quickly flying the DHC-6 and a little longer at Ameriflight in the Beech 99. Since you want the majors to be your ultimate goal this turbine PIC time is pure gold. Most of the majors have a MINIMUM requirement of 1000 hrs of turbine PIC time. 2000-3000 hrs of turbine PIC time is competitive for SWA, UPS and Fedex.
Flying for Scenic or Ameriflight WILL be a lot of work with long days and you will not have the so called glamor of flying jets with fancy avionics and flight attendants and you will have to be willing to relocate. However you will achieve your ultimate goal in less time usually than going directly to a regional. Also the pay at Ameriflight and Scenic will be significantly better (lower 40's to upper 40's respectively) than at the regionals.
This is the path I would recommend. Not only is the pay better there but so is the job security. Both companies are hurting for pilots. Again after flying at either company for 4-5 yrs with 2000+ turbine PIC it is very realistic to get on with SWA, UPS or Fedex. After 4-5yrs some are just upgrading to Capt at many regionals. So what is better, 4-5yrs in the Right seat of a regional jet with a shot to upgrade to captain, or 4-5 yrs in a turboprop as Captain with a shot at the right seat at SWA?
There are the only things that WILL get you ahead in this profession!
1) TURBINE PIC
2) POSITIVE ATTITUDE
3) NETWORKING
As far as the profession going down the toilet I would slightly agree but mostly disagree. In 1999-2000 when the music was playing I knew it would stop. Musical chairs if you will. Even before 9/11, some of the legacies were showing subtle but clear signs that storm clouds were on the horizion. If you wanted to become a pilot and make 300K and have off 19 days/month and compare it to the wages now then I would say the profession has gone down the toilet.
On the other hand I am optimistic when I look at how SWA, Fedex and UPS have managed to not only stay a float but be profitable year after year. It tells me that this industry still has hope and promise for those willing to tough it out and work hard.
I ABSOLUTLY think pilots ought to stand up for what they are worth but it is irresponsible to say they are cheapening the profession by being satisfied with 150-200K for a 10 yr major capt. On the other hand, demanding 250-300K I think is unrealistic and would do more harm than good to the pilots.
I can probably count the number of jobs on one hand where you have off 16 days/month and pull in 150K+. Doctors? Nope. Lawyers? Nope. Real estate commissioners? A big maybe.
Whatever you decide to persue, DO go with your dreams and don't look back. You only live once and I would hate for you to be stuck in "voluntary prison" behind a desk 60 hrs/week and everytime you look longingly at the cumulus clouds through the only window in the office on a beautiful afternoon, get the painful itch to fly and knock yourself around and say to yourself "if only I had acted on my opportunity 10 yrs ago I'd now feel whole, content and spirtually secure!"
Hope this has helped. GOOD LUCK MAN!!!!