If you are seeing artifacts in the beginning while the computer is POSTing, to me it sounds like a video card issue. I remember one time while I was building my first PC I forgot to plug in the fan cable for my video card (which is an 8800GTS) and it made a very loud beep, which signals the fan was not receiving power and thus the GPU was overheating. There's some things you can do for me to help clarify what you mean about "beeping".
1. Where exactly are you hearing this beeping sound. Is it immediately after you power up your PC, is it while your computer is POSTING (which stands for Power On Self Test, which is a diagnostic your computer does to make sure critical components are functioning normally.) Normally a successful POST you'll hear just one single, short beep. Here's an example of a bad POST with errors.
[ame]http://www.youtube.com/watch?v=tTnKm3YSBbc[/ame]
2. What kind of BIOS does your PC have? The way you can find this is when your computer loads up you'll usually see a black screen with a bunch of stuff. Here's an example of Phoenix BIOS.
As you can see from the picture on the top its says the vendor (which is Phoenix) and the BIOS version is highlighted in the yellow box. The reason I ask this is if it's a BIOS POST error, the beeps actually stand for a code, and they aren't always exactly from vendor to vendor.
3. If you can, open up your case and see if any fans are running in your video card, processor and power supply unit (PSU). Do be careful and not touch any part of the motherboard if you need to move around any cabling. I'd take the case off first and then power it on, and see if any of those fans are running, or making a weird noise, or not moving at all.
Let me know what you discover and if you want, feel free to bug me on Steam.