Can you even hear 20 KHz? I have a hard time hearing 15 KHz and above already, and I'm not even that old! It was a startling revelation when I started messing with test tone generators...
Personally, if you have a Titanium HD already, I don't see much reason to go with the Essence STX unless you wanted to switch from Windows to Linux as your main OS or something like that. Just get an external headphone amp if you need one and be done with it.
Besides, gaming is where the X-Fi-based cards excel. Not that games are known for hi-fi audio, but I still play my fair share of titles that use EAX versions 3 through 5 (and they still work with the help of ALchemy), and of course, we have CMSS-3D Headphone, which can apparently even be applied to a PCM S/PDIF stream for whenever you want to step up to an external DAC. (For some reason, Xonar cards won't output Dolby Headphone-processed S/PDIF from what I've heard here. I don't see why not.)
As for what to use for gaming...on the affordable end, there's the AD700 (hated by a few for high price and lacking low end, but definitely great for competitive gaming), SR850 (haven't tried), and FA-011 (haven't tried that one either). On the "likely to max out or exceed your budget" end, there's vintage Stax Lambda systems that you might find used within your budget, but most will require a speaker amp to drive the supplied transformer box, meaning additional expense if you don't already have one.