Joel,
Mine are 10w also and I think that was original. It could be a breaker, switch, or a bad wire contact/crimp connection. You might try and tap each light fixture lightly with a screw driver handle and any relay or switch that is involved and see if you can induce the flicker. You may need to pull each light fixture in the circuit and check the crimps and wiggle the wires to check for flicker. You should be able to exchange the relay with another and see if the symptom moves or disappears. If so replace the relay. Thermal breakers are tripped by load and heat. You could pull several bulbs (maybe a third of the load) from the sockets in that circuit. With the reduced load in that circuit see if the tripping stops. If it does replace the thermal breaker if it exists. Hope this helps.
Later Ed