Looking for preamp which is good at BOTH single-ended AND balanced output

Thank you for all your inputs.
I asked this question because I noticed some preamp produces better sound using either single ended or balanced, but not both. I am using Schiit Freya+ now. When I use Freya+ balanced connected to my SS balanced MC2 MC1250 amp. Its sound open and transparent, with wide sound stage. But when I connect the single-ended to tube amps. It sounds veiled and has very narrow sound stage.However, when I use the DIY grounded-grid preamp with tube amps. The transparent and wide sound stage comes back. I don't rule out the difference in sound quality is caused by preamp-amp mismatch.
That's why I initiated the topic, and looking for preamp with BOTH good outputs for comparison.

While no absolute guarantee, the higher the quality preamp the better both are likely to be and also the less the difference is likely to be.

Why not take a look at the Benchmark Media LA4?  It's Stereophile class A, offers both balanced and single ended inputs and outputs, and is below your top budget, selling for $2,600 new direct from Benchmark.  

Interesting. I will check it out.

If you don’t need an active pre-amp, the IcON 4pro does both single ended and balanced input/output and provides outstanding sound quality. 

http://hifiknights.com/reviews/preamplifiers/icon-4pro/