For someone who's owned the D7000's for close to a year and the Little Dot I+ for over a year, my experience will lead me to say that the LDI+ is not a good match for the D7000's, its just an OK match, and that is with a LME49720HA opamp tossed in (never tried stock)
As someone here already mentioned, they run the D7000's off of a vintage Carver amp (overkill, but I love it!), while I run mine off of a vintage Hitachi amp (class-a power). I've also tried them on a vintage NAD amp, 7020e (another class-a) and they sounded great. NAD has too much gain, so the noise floor is too much to bare although the imaging was heavenly.
The Hitachi's noise floor is apparent on quiet passages, but not enough to be annoying.
One thing is for sure, the Denon's love class-a power and so far have sounded best out of my Hitachi. Its my go to match. This match will be on display at an upcoming audio meet in my area and I am very interested to hear the impressions.
Becoming frustrated with amp matching, I was minutes away from selling my Denon's. Glad I tried the Hitachi amp first. The bass tightened up, the mids came through, and the high's evened up with the rest of the spectrum while staying smooth. And for that reason, my go to Grado's have sat hung up for the past 2 months.
I listen to a lot of rock, classical, and industrial/electronic music (not as much, but still regularly I listen to Jazz and Classical). Sound stage and imaging is my favorite part of this headphone along with the weight it adds to music. Oh the weight, love it. Something about the closed cups and the resonance they create make them so great sounding. The colour they add makes me WANT to listen to music while still achieving a level of accuracy I crave.
My AKG 240's, although "accurate" are as boring as it gets. Boredom sets in quick as does listening fatigue.
Pardon the lengthy reply. All I wanted to really say was, look at other options beside the LDI+. It would not be my first or second choice.
Good luck.
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You could still go with tubes, just pair up with an amp that's less about warmth and more about texture, like a decent hybrid. The EF-5 is a great example, and on the cheaper end is the LD I+. The LD is a great match which I use myself. Roll in some inexpensive Voskhod EF-95s and you'd be set.