BUY an AMP, then you won't need to bi-amp them
Your mains will most likely draw more current due to being 4 ohm, but biamping from a single power supply just means you are essentially putting the exact same load on it. It doesn't really matter the size of the drivers in the speakers to some extent, it matters what it actually draws and in your case I would say an amp might be appropriate, however if you have them crossed over, the are likely not going to be drawing all that much current. The real question here is, what are you after? If you aren't actually running up against some kind of sound issue such as clipping, then do you really even
need more power?
All of my speakers are 4 Ohm and only my surrounds run off the receiver.