As someone who gets a rental car every trip and avoids the strip mostly (minus Mandalay Bay, MGM Grand) I get the most out of Boyd properties.
BConnected is a solid reward club. I'm low budget, low rolling and I've gotten free rooms at Gold Coast, The Orleans, Main Street Station.
OP didn't specify how much though so who knows. Your ADT (Average daily theoretical) makes all the difference in the world. From the sounds of it you won't get anything on the strip.