Just because a loudspeaker will work better with a big solid state amplifier doesn't mean it won't work very well with your moderate power tube amp. I am not familiar with either the loudspeaker you are considering or your current amplifier. The Technics isn't an easy load, but it's also not difficult load. It's honestly rated at 4 ohms. With 4 KT88s per channel your amp should have enough to drive them. Depending on how loud you listen, your room and your musical taste you could find the Technics/Cayin combo absolutely fabulous.
@onhwy61 The speakers in question are only 83dB 1 Watt/1 meter. Sensitivity-wise this works out to 86dB, but we're talking about a tube amp here and they don't double power as impedance is halved. Instead they cut power in half as impedance is doubled if they are acting as a Voltage source.
So this is simply impractical and won't work out as you forecast above.
@mamifero If you like your amp, I'd look for a speaker that is 8 Ohms or more. Your current speakers are 4 Ohms so their actual efficiency is 87dB. Your amp is working hard all the time with that speaker- they are not showing it in its best light. By simply moving to an 8 Ohm speaker that is 90dB your amp will need only make half the power it does now for a given sound pressure level. That will reduce its distortion and it will run cooler as the output section will be more efficient.

