There is a big difference between a neighbors house and an adjoining apartment ! If it is indeed a house you might try having someone play a bunch of note on your piano as you have it set up now, go outside and listen before assuming they are hearing a whole lot of what you are playing after going through another set of walls. If it's an apartment then you probably have a problem.I own a grand about your sized grand. For silent practice I use a digital with headphones though. There is nothing I dislike more than trapping sound inside of my grand, I usually have the top up. I don't have close neighbors but we have a tenant in an adjoining apartment, with lots of room separation. He sleeps like a log, but 3:30 am when I feel inspired would even tick me off if it wasn't me playing ! We like our tenant, I don't want to tick him off.
I was hoping to get a good quality digital piano for practice at night. I was looking at the Yamaha Avant Grand series, but it's too expensive for me at the moment (they are asking for more than £5,000 for an N1).