Computer power supplies are great for this kind of thing. But what output voltage range do you need? Generally people use the +12V output, and you will be able to vary the voltage on that rail somewhat, but not over a very wide range. You should be able to drop it down to 8.6V and 3A won't be a problem.
It could be a problem because they are regulated. Once i tryed to do this on an old PSU and it would just shud down itsself probably because it detected output overload.