You would normally design for a current in the bias chain 10 times the lowest base current or more. So, with 50mA of base current if you assume hfe of 100 then the base current would be 0.5mA. So, you would maybe use 5mA for the bias resistor chain. This will be affected by the base current but you probably don't want 50mA in the bias chain - it would consume a lot of current and make the input impedance low. So, after choosing your base resistors you can either tweek one of the values to correct for the base current or adjust the emitter resistor.
You could do the calculation properly which involves solving the equations for the two resistors and the base current. So, for example, 5mA through the resistor from VCC and 4.5mA down the lower resistor and 0.5mA. Down the base.
I hope that makes sense!
Keith