Forget about pedal strike. The 5mm difference doesn't amount to much. If you are worried about pedal strike, use narrow clipless pedals.
Fixed gear riding takes you to much higher cadences than geared riding and the shorter cranks allow you to comfortably spin at faster cadences, albeit with a slight power loss for any given gear ratio. I'm 6'1.5" and ride 172.5-175 mm cranks on geared road bikes and 167.5-170mm on fg bikes. At your height I would choose 165s over longer cranks for a fg bike.