"an inside look at what the airlines might be like"
That's silly. What makes you think DCA gives you a heads up with that more so than another school? Being "owned by Delta" is nothing more than marketing BS. A good airline pilot starts out as a good pilot and then gets hired at an airline. You can become a good pilot at any of the academies or a little flight school. Either method has it's good points and bad points but they both get you the same place.
"Should I go ahead and get a BS or will the airlines take my schooling into account?"
You'll need the BS for the cream of the crop jobs, unless you're very lucky. Not saying it couldn't/hasn't been done, but it's just not too likely in this day and age. On the other hand, if you'd be happy with a career at the regionals, then I wouldn't worry about the degree.