Read through the stuff on this forum
A DIY iBook Dual USB Logic Board Repair - MacNN Forums
it will help you understand the risks.
I have had 2 logic board repairs by Apple to my iBook G3 dual USB 700 and when it failed again, managed to get another 6 months use with the shim method (4 x rubber feet above the chip) when the problem recurred.
Then tried the heat gun to re float the solder, explained in the attached link. As mentioned, I dropped a couple of pieces of solder on top of the graphics chip and heated the area with the heat gun (paint stripper type, available @ Bunnings if you like). When the pieces of solder became molten I waited for around 20 seconds continuing to heat the area and watched the chip sink slightly to what I believed to be it's rightful place.
I put it all back together and it's worked like a charm for a few months now.
However, the symptoms have returned. Although the laptop is much more useable this time around. I seem to be able to turn it off and let it cool down and when I reboot the display returns and it's fine for another week.
I'm thinking I may have to repeat the process at some stage. I'm still impressed that I've taken what was nothing more than a doorstop and made it a useful device again.
So, I had nothing to lose by trying this method of repair and still don't by giving it another go.
I guess you could lose your $91. Good luck.