"On-chip adapter"... srsly...
Pretty elegant-looking socket adapter though 😀
If it works as designed, you have a nice range of boards to choose from. Not at all sure you'll get away with not flashing BIOS though - you never know what (old) BIOS might be on a board you buy, the only ones that you 100% guaranteed will not need to flash are ones that natively support FC-PGA2 CPUs without adapter, and in that case you could have spared yourself the expense of the version with the adapter...
As for what to recommend, it depends on what you want to do with the system. Couple of aspects to consider?
- do you want to run DOS? If so you want at least one ISA slot for an ISA sound card
- do you want full ATX or micro ATX form factor?
- how much RAM do you want to use?
- how important is getting the highest possible performance?
If you don't want to run DOS, you don't need ISA and can focus on the newest, fastest boards. The fastest single So370 board is arguably the ECS P6S5AT, with SiS635T DDR chipset. That natively supports Tualatin CPUs from first BIOS onwards, so no BIOS update needed for that. But also no socket adapter needed. Also can be hard to find.
If you want to run Win9x, you're limited to 512MB anyway. Then i815 chipsets are good as they are fast and stable and boards are relatively easy to find.
If you want to run Win2k/XP you need all the RAM you can get. Then Via 694X (ApolloPro133A - note the A) is the way to go. Slower than i815, but you can easily install 1.5GB of RAM.
If you want DOS, you need ISA (and are limited to 512MB RAM). i815 boards with ISA exist but are rarer than hen's teeth. You're probably best off with a Via 694X-based board, ideally one with multiple ISA slots.
Alternative is to take an i440BX board that supports Coppermine. Only issue there is that they do not officially support 133MHz FSB so you will have to overclock motherboard and AGP to get there. A late-revision Asus P2B (3 ISA) or P2B-F (2 ISA) would support your CPU.
In general, to meet the voltage requirement for Tualatin, the board needs to comply with Intel VRM 8.4 specification. Check that in the manual of any board you are considering.
But... in all cases except the P6S5AT, it's quite likely you will have to flash BIOS. It's pretty much unavoidable as with that adapter you are going to be running a CPU that did not exist when your motherboard was released.