Regarding speed and power output, USB and PS2 ports have no difference. Also both can enter bios on any system by now, unless it's something VERY old dating back to i386 times...
What's different about them is that, while PS2 has a fixed command polling rate and a more "direct feed" to the system, so to speak, USB has a variable one and must be sustained by USB BUS reads made by the CPU.
The former can usually achieve very good results in terms of response time and input lag, and has a minimal impact on the CPU while requiring a minimally decent chipset (with updated drivers). The latter, on the other hand, can far exceed it if you increase command polling rate, but will need a fast chipset (with updated drivers) and a more beefy CPU the more you increase it. On old or not sufficiently powerful systems, at least from my experience, this can cause an USB peripheral to hog the CPU and make anything else run slower.
This usually happens with high performance keyboards however, which usually have extra function buttons, or gaming peripherals, which usually sport an higher polling rate for better responsiveness. It simply cannot happen with an economical, barebones 5$ keyboard.
It's a matter of choosing what's best for you really; USB provides flexibility, PS2 will pretty much work on anything you throw at it. I also advised not using an adapter out of personal opinion, as chipsets can switch back and forth on the fly.
Go on ahead and try updating your chipset drivers.