I see, yeah it's hard to say. Best case scenario is wait and pay off your platinum card and try not to lose money on the hellcat. Then apply for GTR, but with your income going down to 60k they might not approve just you being on the loan.
I dont think its impossible to get approved for the car with a 60k income. But I think it might take a really good credit score and/or providing navy with savings or any other assets you have as collateral.
Any specifc reason why you dont want apply jointly?