Hi, I am having an issue with my computer failing POST, but the beep code does not match anything I can find.

Current Specs:
AMD 6350 Black Edition Unlocked 6-core CPU
Asus Sabertooth 990 R2.0 MOBO
Asus Radeon HD 7850 GPU
Asus Blu-ray/DVD/CD Burner
OCZ 90GB SSD
Western Digital 500GB Blue HDD
Western Digital 2TB HDD
Corsair Ballistix Sport RAM 2x8GB (16GB total)
735 Watt Raidmax 80 Bronze PSU w/ blue led
Thermaltek Armor Evo CASE w/ hot swap HDD bay, 2 x USB 3.0, 2 x USB2.0, 2 x 200mm fan (one w/ blue led), 1 x 120mm fan

Issue:
Upon power up, the PC fails POST and gives me the following: 1 long beep, 3 short beeps. A slight pause and then the "normal" beep that usually indicates a good POST, then the 1 long three short pattern repeats one time at a higher frequency.

No display on any monitors. Everything else seems to be working (lights, fans, ETC)

What I have done (not necessarily in this exact order):
Power Cycle
Unplugged all EXTERNAL drives
Unplugged all external components (mouse, KB, etc)
Unplugged everything from the back except the power.
Switched RAM locations
Removed 1 stick of RAM and cycled it through different locations
Cycled second stick of RAM through all locations
Removed all RAM (this was the only thing that resulted in a changed. I then got a short beep repeating without stopping)
Unplugged all fans
Removed GPU
Put GPU in different PCIe slots (the bottom one was not checked; PSU blocks it)
Unplugged all internal drives
Removed PSU cord for 10 minutes
Removed CMOS battery for 10 minutes

The only thing that changed was during the RAM removal, after powering on it gave me a short beep that repeated over and over. Other than that, not changes. I did not remove the heat sink or the CPU (mainly because I don't know how to test those apart from the MOBO).

The beep pattern matches with ASUS patterns for a bad video card, but it is not supposed to repeat. So the repeating is throwing me off. Is there any other way to test the video card without just buying a new one?

Any help would be appreciated.