Do you want it to be louder? If not you actually get the best sound with the volume control at or near maximum. If you don't want it to go louder you are in an ideal situation.
Your phono pre has quite a bit of gain so I suspect a step up will overload it. You need to fix it elsewhere.
I trust Almarg's math so if you do want it louder you need some more oomph from the amp. Since you are getting enough gain to get close to 2V into your amp if you want to go louder you have to get an amp that can get more power out with that input. Your low efficiency speakers simply need some more power.
Your phono pre has quite a bit of gain so I suspect a step up will overload it. You need to fix it elsewhere.
I trust Almarg's math so if you do want it louder you need some more oomph from the amp. Since you are getting enough gain to get close to 2V into your amp if you want to go louder you have to get an amp that can get more power out with that input. Your low efficiency speakers simply need some more power.