Hey all, i've gotten such great advice from this forum that I just keep coming back. 
I have almost all of the parts for my first budget gaming build. Only thing I have left to purchase is the CPU (I was waiting for the unlocked A8-3870k), cooler (Hyper 212 Evo), and the GPU.
I am ordering tonight, so I just need some last minute advice about the GPU. Here are my options/thoughts:
Option 1. I could get a 6670 for $100 and do the AMD Dual Graphics thing. I am hoping that the unlocked 3870k with an overclocked IGP will give this setup a little more "umph".
Option 2. I could get a GTX 460 for $150 (no dual graphics, but still paired with the 3870k).
Option 3. I could get a 6870 for $175
Option 4. I could get a GTX 560 (non Ti) for $190 (this is really the outer limit of my budget)
I would like to be able to do gaming at no higher/lower than 1080p on my monitor and HDTV. I don't mind turning down the settings (from max to high) and avoiding things like AA/fancy effects. I would like to play the newer games (BF3, Skywimp) but mostly I think i'll be doing SWTOR.
My question is, what option would allow me to do what I want for the least money. Yes, I am a cheapo.
And if you have another option I haven't thought of, please feel free to show me.
btw I can't change the CPU because I already have the Mobo. Got a good deal so I pulled the trigger.
As always, any help would be appreciated, and thanks in advance. I really do appreciate all of the help I've received here.

I have almost all of the parts for my first budget gaming build. Only thing I have left to purchase is the CPU (I was waiting for the unlocked A8-3870k), cooler (Hyper 212 Evo), and the GPU.
I am ordering tonight, so I just need some last minute advice about the GPU. Here are my options/thoughts:
Option 1. I could get a 6670 for $100 and do the AMD Dual Graphics thing. I am hoping that the unlocked 3870k with an overclocked IGP will give this setup a little more "umph".
Option 2. I could get a GTX 460 for $150 (no dual graphics, but still paired with the 3870k).
Option 3. I could get a 6870 for $175
Option 4. I could get a GTX 560 (non Ti) for $190 (this is really the outer limit of my budget)
I would like to be able to do gaming at no higher/lower than 1080p on my monitor and HDTV. I don't mind turning down the settings (from max to high) and avoiding things like AA/fancy effects. I would like to play the newer games (BF3, Skywimp) but mostly I think i'll be doing SWTOR.
My question is, what option would allow me to do what I want for the least money. Yes, I am a cheapo.

btw I can't change the CPU because I already have the Mobo. Got a good deal so I pulled the trigger.
As always, any help would be appreciated, and thanks in advance. I really do appreciate all of the help I've received here.