I play at 1680x1050 and haven't noticed any problems like the OP reported.
However, the ability to toggle a persistent chatbox would be very welcome...I can't even remember who I'm donating my c-bills to half the time!
Maybe when you press U or Y, the persistant chatbox will toggle on, and when you aren't typing it will fade away.
Alternately, all lines of chat could be stored in the console for reference. Currently I can only see messages I sent saved in console, but not those typed by anyone else.