I use a Silver Sensor with my Hughes E86. I am less than 10 miles from the towers for CBS, NBC, ABC and WB and I pick them all up with only a few problems. None of them are broadcasting at full power. But I do have to change the direction of the antenna on top of my TV to get reception, and I still get drops outs from time to time. Sometimes it is perfect for days and days, and then soemtimes I get lots of drop outs and it is annoying all night. On the other hand, the closest UPN station tower is about 30 miles away, and I cannot get UPN at all. I'm located in an area of the city with (unfortunately) lots of multipath issues.
So based upon just my experience, I would think you would trouble getting CBS 54 miles away with an indoor Silver Sensor unless you have far less of a multipath problem than I do and/or unless your CBS station is broadcasting at full power.
-Jeff