Concerning the switch:
In the Switches Simplified FAQ, there is a post showing a hook-up for a
motor and QPH-031 LNB.
Typically connect port #1 of your switch to one of the L outputs, and port #2 to one of the C outputs.
Look closely at the LNB for correct connector.
Reading the entire FAQ up to that post would probably be helpful, too.
And as recommended above, get it going with the switch out of the circuit.
Remember, too, that inserting or removing a switch with the receiver powered on, may blow the switch.
Always turn off the power switch on the rear of the receiver before reconfiguring the cables.
Concerning BEV subscription:
BEV and Dish Network receivers do not take kindly to having their dishes disconnected.
They perform routine maintenance, load guides, update firmware, and other things while you think they are off.
It would be wise to leave the BEV receiver connected to its dish at all times, and not try to cross-wire that dish to your FTA setup.
Trying to save on cables into the house is a real uphill battle, and I recommend you don't attempt it for all the reasons listed above.