This is a tricky one. With raw gold stars you can sell them relatively easy as a complete set because people are always looking for them and the value isn't too high. But a PSA 10 set is a whole new situation. Although there are a large amount of gold star collectors, most of them are amateur, so trying to find someone who collects PSA gold stars is tough. If you sold it as a set, I would expect to wait a few months before a sale. You will have a much easier time selling them individually, but it will require a bit more work.
I think in this case, you could get more out of a complete set if you found the right collector, but you'd have an easier/faster time getting more money if you sold them individually.
As for the price, I'd say you could probably get $4 - $4.5 k