Hello,
Thank you for contacting National Instruments.
The input impedance should not change with respect to the input mode. Where did you see that posted?
As far as increasing the impedance while the device is powered down, you could simply tie all of your negative terminals to ground with 1 MOhm resistors. This would greatly affect your settling time.
Alternatively, you could tie your inputs to the device through a set of relays which close when the board is on and open when the board is off. You can use the 5V line on the board to power these relays.
I hope this helps,
Sean C.
Applications Engineer
National Instruments