Recommendation Request: Headphone Amp/DAC combo

If I were in the market,with your budget & cans,I would get a Woo Audio WA7 Gen3 "Firefly", a pair of nice NOS tubes & an upgraded power cord & never look back...
If you absolutely want to blow the budget then either an iFi Audio "Pro iDSD" or SPL Audio "Phonitor XE"with DAC module would get my $...

@o_holter this is nothing more than the same old tired audiophile dogma that should have died out years ago!
 Separates stopped being "better" decades ago!
 An all in 1 unit allows maximum synergy between components + $ that would go for a good I/C can also be factored into the budget for an all in 1...
 Another thing,an OTL amp is NOT going to drive his HE1000SE cans worth a damn!