Without monitor it is possible.
Get cheap peripherals.
U can always get GPU second hand with warranty.. i always buy gpu 2nd hand.. unless i can get new ones cheap.
Abt ~$150 bucks should be able to grab u a 960, but should be lesser.
Resale value will be around there also, so next time u can sell and upgrade your GPU when u have more money.
550 bucks for the rest of the build.. that's plenty to grab an i5+MB, 8GB ram, 500W PSU and a case.