If you absolutely want a balanced line stage, the BAT VK3 is an excellent choice....and sometimes falls around $1k or so. Otherwise I would give serious consideration to the CJ models suggested by Rushton. Finding something under $1k because you maxed out your budget on the Atma amp will be difficult. And what speakers do you have? The Atma amps might not be a good choice at all here.
For tube models, various Counterpoints or Melos or even ARC LS7 would get my vote. If you were willing to go solid state at the start, something like the McCormack Line Drive would be a great value.
Mcfarland: The first truly balanced line stage from ARC was the LS5. The LS1, LS2, LS3 and SP15 may have had XLR connectors but they went through conversion circuits to obtain two phases....and what's the point of all that nonsense!