You might be able to find BIOS updates if you go to the archived version of the QDI website in the Internet Archive.
About Tualatin support, the Advance 10B is a Coppermine only motherboard, so I doubt a Tualatin will work (unless you buy the Korean pin modded version or you mod it by yourself). Even if it would, you'd need to modify the BIOS to inject the microcode of the CPU you want. I have the Advance 10T in my computer, which is the Tualatin capable version of your motherboard, and it's a very fast performer. I'm running mine at 1.5GHz and 148,5MHz FSB and is very close to a 3GHz Northwood Pentium 4 in terms of performance.
Make sure you use the VIA 4in1 v4.43, those proved to be the fastest ones I've tried on my RDD, and if you use Windows 2000 or XP, you must replace the drivers manually in the Device Manager, as the installer is bugged and won't replace the stock Microsoft ones.
My Retro Daily Driver: Pentium !!!-S 1.7GHz | 3GB PC166 ECC SDRAM | Geforce 6800 Ultra 256MB | 128GB Lite-On SSD + 500GB WD Blue SSD | ESS Allegro PCI | Windows XP Professional SP3