what dacs are fast, lively, energetic?

+1 Chord DAC.

I never thought I would suggest looking at Topping, but here is a good review of the new Topping d90 III discrete - , discrete meaning it is not like their other DAC’s, it is not a R2R it is a single bit DAC.

Sandu, great reviewer, talks about exactly what the OP is asking for: speed and energy (jump to just after 8:00)

D90 III discrete

Could tide you over until you save up for your 5k budget (?) 

@mclinnguy He also did a review of the Gustard X-30 dac.  It's had at least three rave reviews, but still seems to be flying under the radar.  It's a long review.  Summary is that he really likes it.  :)

He doesn't describe it as fast, but to be honest, I'm not sure what that means. In my mind, that depends on the music.  

https://www.youtube.com/watch?v=VLkFoU3fu18

Chord, but too much of a good thing for me. Too fast, sibilant, too bright, too detailed......like a racoon on crack. Not that it is not well designed or made, and I could however see it being valuable in a "dark" or a system that is lacking detail

I submit you must think about "system context". Components, including DACs can sound different based on the system their in and the end user's ear.