I think the points above are well made - in other words its your situation that is the issue, you will have this problem with any equipment as the limitation here is your ears - unlike a valve amp which would be a totally different ball game.
However, don't give up just yet, there are things you can try as stated. Also I think the expectation you have set, that you can get the same sound at very low volume compared to practice or gig volume is achievable as physics interferes with this.
Persoanlly I don;t use the KPA at home except to set it up for gigs but many people use it for recording as a powerful tool so it has the sound in there.
Getting a house won;t solve it either, as my wife will tell you
Good luck, hope you find an answer/happy medium.