One of the biggest advantages to solid state is the power/weight ratio. Sooner or later you have to lift the thing, unless you can afford roadies. Bassists have it rough on the size / weight factor all the way around. We have bigger instruments, bigger repair bills, and bass frequencies have to be 10 times the amplitude to sound as loud as high frequencies. So a tube amp that will deliver the overhead power to produce a really loud, clean and undistorted sound has to be a monster. A solid state amp can deliver that with a fraction of the weight of equivalent transformers pre-amp and output tubes.
I maybe in the minority but I have always preferred solid state amps for bass guitar as well as double bass. To me distortion has never been an integral part of a good sounding bass line. It gets too muddy and takes the punch out. I like solid state for acoustic-electric guitars also.
Now it is very different for electric guitar, IMO. And even though it is over 150 lbs., I'd never trade my vintage Marshall half-stack for a solid state guitar amp.