Schiit HEL. $189 is a little bit more than you wanted to spend, but well worth it. I use it with DT990 Pro 600ohm and it's a very good match.
https://www.schiit.com/products/hel...6aMe5DOpM2Vm_RNFX3o9HKeDmN6fEJ8RoCDSwQAvD_BwE
The Hel is designed in mind for headsets with a mic input, if it's only for a headphone there is no need to spend the extra on it unless there is also going to be a mic going into it.