I'd want to be sure that PSU is in fact a decent one before suggesting upgrades. If so, it will have full range active PFC (no little voltage switch) and some level of 80+ certification for efficiency. If lacks these qualities, at best it is an older, inefficient design. At worst, it should be considered a 450W PSU at most, and may still not have output voltages that are clean or always within spec.
If you need to replace your PSU, you can use the Asguard II case and reduce the GPU to a HD6850 or HD6770.