FYI, using the correct ratio of voltage to current feedback (it would look something like a Howland current pump, with unbalanced resistors), you can have the amp behave as a resistor already. Downside: above the frequencies where feedback is dominant (i.e., within reach of GBW), the output impedance will go funky as it transitions to whatever the open loop output impedance is (usually an oddball, somewhat reactive value; R2R amps may be reactive and high impedance).
You can switch it between whatever characteristics you like; using separate voltage dividers to set the gain and impedance of each combination, selecting between them with analog switches, is a fine way to go. All you have to mind is the switch capacitance, in the 10-100pF range, which will need some compensation (loading on the +in will reduce high frequency response and make the output capacitive; loading on the -in will add peaking, or more likely, oscillation outright).
Tim