Aftermarket hubcap depth

First off, hello PriusChat!

We're two proud new owners of a (lightly used) 2010. One of our OEM hubcaps was pretty damaged on arrival, and didn't take much to come off. So we decided to remove the remaining three and look for replacements. Research on the forum here suggests just leaving them off and running with nothing but the wheels, but we wanted to try something different.

Turns out, the pair we got had a different... depth, than the OEMs? For lack of a more accurate term. I've included a picture that will hopefully illustrate our issue. They proved impossible to pop into place (despite being 15"), and even if they had, they would have stuck out by ~1/2 an inch.

Anyone here with experience in this department? Know any particular brands or models that will be a better fit?