The 960T is a Zosma (?), which is a cut-down Thuban. The die is actually a 6-core die, and in the right motherboard, you may be able to enable one or two more cores. (Friend did exactly that with some rigs.)
Craig, not to be too detrimental, but... if you can't see how a "dust blanket" would affect your temps, when your fan/heatsink assembly needs a supply of fresh cool air to it's "skin", then ... well, anyways.
Either way, this is a perfect example of why PCs DO need some slight maintenance, if only every 1-2 years, depending on dust-accumulation rates. You could / should have taken it to Staples, to their "free PC cleaning" events, where they try to upsell you on anti-virus solutions, but they clean out your PC, or something like that. (I've never done it, I always do my own maintenance, and generally, don't have too much dust in my PCs anyways.)
That's a decent board (I think that I have the same one), and it's worth saving and re-using, even if it is AM2+. (Not compatible with FX-series CPUs.)
I think that I even have a 4x4GB DDR2-800 kit that would fit that board. Could sell it, if you're interested in really souping this thing up. (Using an identical set of RAM in my friend's 780G AM2+ board, with an AM3 X4 640 CPU. 16GB of RAM is nice to have, on an AM2+/AM3 rig.)
Can you find a Thuban 1045T CPU? They made those in 95W (I have a couple), and they run fairly cool, even though they have SIX cores. Could be a nice little step up. I think that they go for $80 or so on ebay, but I haven't looked lately.