Is that all?!?
I'll doubt you'll find something that fits all your requirements in one box and/or in your price range. There are many great EQ's out there that have some great sound but not everything, so you'll have to narrow down your search a little bit to the things that matter most.
You might look for a two-box solution, like a DM BAX with a Thermonic Pullet (with a matching mic pre).