Leah,
The method that you plan to use to clean your black tank should not harm the sensor, but it probably will not correct your problem. However, it should not hurt the situation, so why not try. I said that a pressure washer would damage the sensor because all pressure washers have a pressure in excess of 1,000 PSI, and the sensor can not stand that kind of pressure if it hits it.
If cleaning the tank does not help, and it probably will not, I would try recalibrating the sensor as per your Aladdin manual. If recalibration does not correct the problem, replace the sensor. Also, if sensor replacement is necessary, be sure to install the sensor in a 90 degree elbow with the sensor facing down. This seems to make the sensor work better and last longer.
Gerald