You will need to figure out what is more important to you? do you want a four year degree? do you want to get your ratings fast? do you want to save money? etc.
In my honest opinion I don't think getting an aviation degree is worth it. It makes no sense to me on why one would require a 4 year degree to fly airplanes. Obtaining a "Professional Aeronutics" or "Aviation Science" degree is not worth it. If you really want to get a 4 year degree, I suggest you get it in something that you can fall back on or use while you fly professionally. I say this because if you plan on coming to the airlines, you will eventually have to start at a regional, and the pay is crap. I know this because I work for a regional. I work a second job to make ends meet. Until you are a captain or working at a low cost carrier or a legacy will you see the big bucks, until then you will be scraping the bottom of the barrel.
As far as your ratings are concerned, I'd say go to a local FBO and obtain all your ratings while you attend a 4year college to be cost efficient. If you are really intent in getting into the airlines, then definitely look into schools like Aerosim Flight Academy. They are a 141 program aligned to get you into a regional quick. They are also partnered with 4 year universities to help you get a degree while you attend. After you graduate as a student with all your ratings, the hire you to instruct at the school itself. You can still finish your 4 year degree, get flight time and get paid. They also have airline pipeline agreements, where you will interview with a regional. After successfully interviewing, they will hire you and give u a seniority number and all the benefits of that airline until u meet their minimums. Once u meet the minimums they require, they take u strait into the jet.
I myself attended this school. I had zero time and was hired as a flight instructor, and from there I got picked up by a regional. For me it was about a 3year process however, times have changed and the regionals are dying to hire people like you and offering $10,000 plus hiring bonuses.

I hope this helps.