Back in my day, the military was the way to go, especially if you didn't have the money for flight training. However, we only had a 7 year commitment and that started after you got commissioned. If you go military now, its probably best to stick out your whole 20 year career then go to the airlines, especially if you get in right out of college (ROTC).
If I could do it all over, I'd go ANG for sure. You know what type of A/C you're going to fly. Find a Tanker outfit and go for it.
That said, if I was starting today, I'd take the Civilian route. Go somewhere like UND, UAA, Purdue or some other college program. Get those hours, get a regional job and move on as fast as you can. Seniority waits for no one and seniority counts.