I don't know what makes you think that.
The FAQ on the Abit website used to say that a p/// 700 was the most the BH6 Rev1.0 would officially support.
If you put the CPU onto the board, it *will* work, as the CPU is multi-locked, it will automaticaaly tell the board I need a 7x Multiplier. I used to have a BH6 (before it popped a Mosfet on me), The last BIOS I has for it was SS. If you like, I can e-mail it to you. It has built-in support for multipliers up to 12x. I used to run a celeron 566 (8.5x multi) on it with no worries until it died and killed the celly with it.
My Geforce 2 sucked too much juice from my BH6. It kept freezing.
New boards. What do you want to spend? It's no good me recommending a $120 mobo if your budget will run to $60.
I've got a Soyo SY6VCA now, as a replacement for my BH6. It had all the features I was looking for and it was within my budget. Don't believe the crap spouted about VIA chipsetted mobos having poor RAM throughput. My new soyo (VIA694x/686A) beat (OK not by much, but it still beat it) my old BH6 (intel BX) on Sandra's Ram Benchmark at 112MHz FSB.