If I'm following you, yes, that would mean WordPress would still be generating the URLs with the "/2" in there, but when the user clicks on them, mod_rewrite would get hold of it and change it from this:
which is what the URL would be coming into your script, as if the user had pasted the second one into the address bar of their browser. Would that work?
If so, what you'd essentially be doing is having mod_rewrite take what looks like a subdirectory and changing it into a query string parameter called "page." I know mod_rewrite can do that, but it's beyond my limited abilities with mod_rewrite.
I think what you're going to want is something like this integrated with your current conditions/rules for your permalinks:
RewriteRule ^(?properties/)(.*)$ properties/?page=$1 [QSA,L]
but I'm not sure I have the "properties" part right. What that's saying (I hope) is that if "properties" is in the path, add the name of the subfolder on as the value of the "page" parameter, then append the rest of the query string (that's what the "QSA" is for).
You'll have to try it and see if your entire site explodes and let me know. If it doesn't work, you might try posting over on Stack Overflow in the mod_rewrite section. If you give them the current URL and the intended URL along with this Forrest Gump attempt, I think they'll help you. Either way, please post back here because I'd like to know what works out. : )