Not being familiar with the Kenwood TK line of products, is the head separable from the base? Otherwise you're not going to have many options with a '10 Limited due to the console shifter. With a separable head, you could mount the base under the center console liner and the head just below the climate controls and above the flip-up that hides the "cigarette lighter". That's what I considered doing on my 2011 with an Icom IC-2720 (amateur radio with separated head/body)
Otherwise, your only option is putting it entirely in the center console, then having to open and close the lid to change channels, volume, etc.