$60,000 is a lot of money.
A Vette? No way. Yawn. A muscle car? Lame. None of those cars have any soul.
OP...why do you want something faster? Bragging rights or the track?
I did a search on autotrader and you can get 911s and even Caymans for $60,000 and even low $40s. Aston Martin V8 Vantage if you want a V8. Or a Lotus Evora or Exige. Tons of Audi's and BMWs if you want the European version of yawn. If you're going to get an American power machine get a Viper. At least they are not as common.
And when you decide meet me in PA at the Tristate Import Tuner event next year. I'll show you what a twin turbo 370 can do.