Sorry to again.. take this off of your intended focus, but I promise I will get back to it after this brief message.
If you are willing to spend the time (5 days... really?) for 1, then you have a hell of a lot more patience and stubbornness than I have ever had, and i've been told I wont let ANYTHING go. I still have a 2 x 2.4 cellys, a P4 2.2, Thunderbird 2.4, Barton 2800+ and a 3200+ in my house yet I have moved on. Its not to say that this system is going to be thrown out, believe me im way to much of a packrat to do that. Heck I still have P2 slot style Motherboards in my closet. The point that many of the other TR members were trying to make to you is..... If your willing to spend the time, and the money on heat sinks, thermal paste, beer (5 days again... id need a few packs) then why not save yourself the hassle and get a new system for a little bit more. Throw your 2.8 back into it where you know it will run acceptable temps and have it as your spare/backup, there is nothing wrong with it. I wasnt willing to spend more than 40 bucks on resurrecting a 939-X2 4400+, why do that for a P4? We aren't trying to say kick it to the curb, just trying to help.
*And now, back to your regularly broadcast-ed show*
If you want to try and lower those temps you can try a few things..... Assuming your heat-sink has a copper base you can try mirroring it. If you need some assistance with that I believe there was an article on TR giving step by step instructions with pictures. I'd also recommend using a good quality thermal paste, none of that silicon based crap. Try Arctic Silver 5, has worked great on all of my builds, roughly $6.00-$10.00 for a 3.5gram tube, more than enough for a few processors. When cleaning off that heatsink and the spreader on the cpu, use a cleaning solution meant for it, or what I have always used, 99% isopropyl rubbing alcohol, cotton balls/Qtips and rub along the grooves of the heatsink to get out the old stuff, this will make for a much better bond.
And last, if you really want to make sure that sucker gets the coldest air possible in your house, if you have a case with a side fan, buy or make (i made mine out of dryer hose

) a little tube from the side fan directly over the processor. This will give your CPU cold air directly from outside the case onto it. Make sure that the fan is blowing the right direction.. may attention to the temps and the CPU fan speed.
If you managed all of that you should be able to reduce your temps (with all of the above) by about 15*C, who knows maybe even more.
"But what ... is it good for?"
Engineer at the Advanced Computing Systems Division of IBM, 1968, commenting on the microchip.
"I think there is a world market for maybe five computers."
Thomas Watson, chairman of IBM, 1943