I have no electronics skills. I've never been sucessful with a sodering iron (Just learned about tinning recently). I have unsteady hands, it took longer to line the new chip up than anything else. Just got to make sure all four sides are touching the tracings. The other trick is to hold the heat gun facing straight down on the chip, otherwise it may blow it slightly off balance and not make contact with all the pins. (I did this on the first try, and adjusted it before it caused a problem). Much easier than using a sodering iron.
Oh yeah... when removing the old chip, heat it up for about 30 seconds and than use long tweezers to lift the chip straight off; so you don't move the soder contacts underneath. If you slide the chip off, the soder contacts may touch each other as they will still be molten.
The least expensive programmer I've ever seen was $150, and probably needed a $100 adapter to handle these chips. Unless you're gonna do 10 of these machines, I would just buy the BIOS from BadFlash. Most of the programmers I've seen lately are minimum $300.
The only problem from using the heat gun... is any parts close by the BIOS chip will also be affected. Remove the motherboard from the plastic case. Also remove the BIOS jumper from the motherboard (I didn't and now its stuck... good thing I don't need to clear it).
I was reading thru my old emails... the guy at BadFlash had actually suggested the use of the heat gun.