Audio Research LS-10 is solid state and it has two sets of balanced outputs. It fits your description for the desired sound and it sells for around $1,800-$2,000 used. They pop up here on the 'Gon periodically. It has been called the best SS offering from AR ever.
I sold mine 5 months ago. I just bought another one last week and I'm awaiting delivery.
I sold mine 5 months ago. I just bought another one last week and I'm awaiting delivery.