Resistor selected for Low-Side Sensing
The minimum supply for the A1190LUBTN-T is 3.0 volts so if you want to get a signal out that is as high as 3.3 volts to suit your ADC you need a supply that is at least 6.6 volts.

So, if you plan on using a 3.3 volt supply, your permissible maximum signal output level with respect to 0 volts is 0.3 volts.

At 17 mA this means a resistor of 17.6 ohms.

If you have a supply in the order of 7 volts or above then to obtain 3.3 volts across the shunt you need a resistor of 194 ohms (or less) as you calculated.