Fred, in my opinion, your (almost) square room is the most limiting factor. If you are going to remain in that room I would advise keeping the AN-Ks, because they will pump the least amount of energy into the room.
If you were going to move into the larger rectangular room, either the AN-J or the AN-E should work. As you now, these speakers both share the same driver complement (basically) but differ in cabinet dimensions and upgrade options. They sound alike, but also quite different. Personally I would probably lean towards the Js, but that;s just me.
There is an inexpensive way to test which will sound better: find a pair each of used Snell J/IIs and E/IIs in good shape and try them out. While these are not the same as the AN speakers, they are the speakers that Audio Note based the AN-series on and they share similar sonic qualities; just not as much of it as the better (and more expensive) AN speakers. But this test shouldn't cost you more than $500 USD and would be money well spent if it guides you in the right direction. I imagine that you would be able to resell the Snells for what you paid for them or very close.
Good luck
If you were going to move into the larger rectangular room, either the AN-J or the AN-E should work. As you now, these speakers both share the same driver complement (basically) but differ in cabinet dimensions and upgrade options. They sound alike, but also quite different. Personally I would probably lean towards the Js, but that;s just me.
There is an inexpensive way to test which will sound better: find a pair each of used Snell J/IIs and E/IIs in good shape and try them out. While these are not the same as the AN speakers, they are the speakers that Audio Note based the AN-series on and they share similar sonic qualities; just not as much of it as the better (and more expensive) AN speakers. But this test shouldn't cost you more than $500 USD and would be money well spent if it guides you in the right direction. I imagine that you would be able to resell the Snells for what you paid for them or very close.
Good luck