Great Hierophant, I recommend reading this PDF on modifying your 486's voltage regulator,
Modifying your motherboard's voltage regulator for overclocking
You will see that changing a discrete value resistor by means of jumpers is all that is required to change the regulator's voltage to the CPU.
Recently I was testing two SiS boards, a 4DPS and a PCI400-4, whereby I measured the voltages of the 3.3 V setting. On the PCI400-4, I found it to be 3.29 V, whereas the 4DPS board has it at 3.35 V. Many processors have a +-0.15 V tolerance on the core voltages, so a 3.45 V processor should be qualified at 3.30 V and 3.60 V for its rated speed.
I did find, however that Cyrix processors may have an even tighter operational voltage range. Only one of 5 Cyrix 5x86 CPUs tested would operate at 3.29 V, whereas they all worked at 3.35 V. Perhaps Cyrix has a +-0.10 V tolerance. The best bet is to get a motherboard which outputs 3.45 V. Alternately, you can follow the PDF guide above and modify your 3.3 V setting to be 3.45 V. You do not need to use a resistance trimmer like I used. You can use a discrete SMD resistor to maintain that clean look, and in fact, that is actually how I used to run it. I later found that using a trimmer for an adjustable voltage regulator was more beneficial for testing. Trimmers have been known to have issues with parasitic impedances, however I've been using my 486 board with a trimmer since I wrote that article and haven't had any stability issues, and that computer is on 24/7.
Plan your life wisely, you'll be dead before you know it.