PIIIs run nowhere near as hot as the current P4s.......... that is either most likely a typo or just a farenheit reading.
By the looks of your specs, you are stuck using the Coppermine-based CPUs (which max out at 1.13 GHz). The only VIA chipset that was known to support the Tualatin CPUs (<=1.4-1.53 GHz) was the Apollo Pro 133T. However, there is a way around it. The voltage changes in the Tualatin CPUs (from the Coppermine) required chipset manufacturers to revamp their chipsets.
However, there is a loophole around this, but it's not 100% guaranteed to work (an FC-PGA2 to FC-PGA adapter, similar concept to the Slotket adapters used for running FC-PGA Socket 370 CPUs on SECC2 Slot 1 motherboards):