Although there are plenty of used turntable and no doubt many of them would be a valid contender here I would stay away from recommending one due to the fact that there is no way to know their condition.
I don't know if you can stretch your budget to the Rega P2, if you can I think you will find its of a different quality specially its Arm which will see you through several cartridge upgrades. I personally think that's an important consideration since in this hobby we typically upgrade the cartridge until we reach the point where the Arm and table can no longer support the upgrade.
In the case of P2 you will probably need to spend $2000+ to significantly better its arm and structure.
Hope this helps narrow down the search!