Not one in the first place... If you're getting a gun you better be well trained with it and none is better then 1 if you ask me. Ps I'm anti liberal so don't lump my calm demeanor in with those fairness crapholes.
A used .22 would be your best bet. You could possibly find one in a gun shop, pawn shop or auction. It is your constitutional right to bear arms. Registered guns are not the problem - throw-aways are. Wish more people were educated on this subject.
Depends on what you want to do with the weapon. As mentioned is a nice caliber for target shooting as well as varmint hunting. As for finding one under $200 you'll most likely be looking for a used firearm.