You need 2 watts to drive those speakers. The first review of them I found lauded them for great sound with a type 45 tube amp (1.8 wpc). You said you don't want a tube amp but you could consider a simple 300b or 2A3 with single input tube per channel (4 tubes total, 5 with a rectifier). You can almost forget they are tube amps. Almost zero maintenance for thousands of hours.
The SS amp I've found that performs most like a tube amp is the Kinki Studios EX-M1+. It is known to have a sound like a Swiss amp, whatever that means.
Then you'll need a phono stage which I know nothing about. However, I listen to a friends awesome system from time to time and he has a Supratek phono stage. It is a tube pre but tube preamps really are almost maintenance free. Sorry I don't have any recommendations for ss phono stages.
Good luck. I hope you find something that really clicks with your beautiful speakers.
Jerry