a good pre amp with remote usd6000 or less used

Do BAT pre-amps get really hot?
I've heard some nice systems at the NY shows over the years using BAT preamps (not a controlled experiment of course) but they sure weren't doing anything wrong.
I just don't want something as hot as a power amp.
Normal preamp heat is fine (like 12ax7/6ns7 heat, which I am used to).
Thanks.

After much thought I've narrowed it down to 129,038. I'll get back to you.

Do you want to change your system tonality? Want more or less of any system attributes?

A Purity Audio Basis preamp should be near neutral with low noise and nice dynamics.

I have their Silver Reference preamp and am wowed by the preamp's low noise due to the great power supply. Low noise design allows gains in many attributes and supports the characteristics of any tubes in the circuit. Certainly not sterile.

I purchased a Allnic L3000 about a month ago and couldn't be happier. Coupled with my lowly Oppo BDP83SE driven through the Pass X350.5 I'm hearing the most musical presentation I've ever heard. Even a concert volumes and above, it no longer hurts but destroys just the same :)

and, I don't even think about tube rolling...

Less than 5K used, but I think I scored a great deal.
Oh and a nice remote too.