http://www.cpu-upgrade.com/mb-AOpen/AX6BC.html
With Bios 2.47 it looks like that board will run up to the 850mhz coppermine. Note that all of the CPUs listed are 100mhz bus, so 133mhz may take overclocking or not be possible. Not a big deal unless you're REALLY trying to push that thing into running 2000s games. In my P3 rig (also 100mhz bus) I go back and forth between a 650mhz PIII and 800mhz PIII (the latter having a loud fan). With either I get a very smooth experience with win 98.
The first thing I would do is try to figure out the most demanding win 98 game you intend to play and work backwards from there. If it requires a top end Coppermine, then that's what you may want to consider. Otherwise you can get something slower.
Early CPU bound DOS games are going to run way too fast on anything you buy for Win 98 (without tweaking). Wing Commander is a popular example, without tweaking or patching you'll have a hard time playing this on anything beyond a 386. Jazz Jackrabbit breaks (but is patchable) above 233mhz. I could think of a few more. The BEST "all arounder" system I can think of is a Super Socket 7 board with an AMD K6-III in it, which is very easy to slow down for games as far back as the late 80s. Personally, I use two machines, the PIII and a 486, which covers the whole gamut of everything I care to play.
What I'm getting at is that you should build for what you intend to play. A lower end Coppermine PIII will probably be sufficient and cost you next to nothing on Ebay. For DOS titles that are problematic, well, you'll either have to play with dosbox or consider doing a straight dos build. There is no perfect answer.
Sup. I like computers. Are you a computer?