Those 3s 2200 lipos are perfect! (dx6i too)
Check your sources for light motors (30-45g) with 1000 to 1200 kV. Many CC and CCW 8" props and cheap adequate ESCs (10-18 Amps depending on the motor).
For the frame I have no good suggestion because I do not know if you can get 10x10 mm alu square tubes from your home depot. If you can, I point you to www.flyduino.net
. Otherwise some rcg ppl from near you may have a good advice.
Edit: Here is an vid from my early beginning -
Both quads are have the same base, only difference are the size of the arms, props, motors and esc. The smaller one can carry a gopro easily. The bigger one can lift 2 kg without touching the limits.