What kind of diving do you want to do, that you can't do now? If the goal is general skills refinement, I'm with James . . . Take a Fundies class. You'll be asked to step up to the skill level of cave diving, but without the expense of major travel, and without the helium costs of a trimix class.
On the other hand, if your budget and ambition includes significant travel and you think you would enjoy the caves, book a trip to Mexico, do Cavern and Intro, and then spend a glorious week in paradise, exploring what you can dive with that certification (which is a LOT!).
I can't see a reason to do a trimix class, unless there are some specific dives you contemplate doing that you cannot do without it.
On the other hand, if your budget and ambition includes significant travel and you think you would enjoy the caves, book a trip to Mexico, do Cavern and Intro, and then spend a glorious week in paradise, exploring what you can dive with that certification (which is a LOT!).
I can't see a reason to do a trimix class, unless there are some specific dives you contemplate doing that you cannot do without it.