For keyboard i have a Logitech s510, I read it works but some downsides were that it lags and you can only hold 3 buttons at the same time.
How bad could the lag be? My receiver is 3 inches away from my keyboard, Never felt like i had any lag on PC, Connecting it to the xim3 shouldn't be any different.
If there is any lag it would be like what, 1-5 milliseconds?
The 3 button max thing, It's never affected my gaming on battlefield 2 PC so it shouldn't be a problem.