Cody honestly just needs a push. He has the tools. He's been given shit like Dashing Cody Rhodes and even turned a broken nose into a solid gimmick, even when Ted DeBiase was tossed with him he did his best to carry that dead weight.
He's no slouch in the ring, and he has been pretty alright on the mic. I feel like it's on him to realize he deserves a push, not because of his father's passing, but because he's earned one. At the very least, it couldn't hurt to have him flirt with the main event scene and see how he stacks up.
For as long as he's been with the company, he hasn't really interacted with a lot of the bigger guys or had any career defining feuds. He's definitely an oddity in terms of ability and circumstances.