Haha seems someone has issues with OpenVZ.
I can't say KVM would be 100% possible, but I do know it's 100% possible with OpenVZ.
RamNode would work (4 Cores, 2 GB RAM, 110 GB SSD-Cached, KVM) but is at $28/month.
If you were willing to settle with OpenVZ, VPSDime has a 250 GB HDD Storage...