The answer is no related to your specific complaint. The input sensitivity of your current amp is 1.9V required to drive at full power. The Krell KSA 250 requires even more voltage at 2.3V for full output.
One of my amps is a VAC Pa100 which only needs .775V for full output. So, to address your complaint of needing to crank the volume control way up which may reveal the inherent noise of the preamp, you should look for an amp which requires less voltage to achieve full power. Tube vs solid state has nothing to do with your complaint.
However, tubes will always be happiest driving a speaker with higher impedance. I am unaware of how your speakers perform regarding impedance.