PA-32R pilot flying reported a landing gear malfunction resulted in a gear-up landing and propeller strike.

Narrative

Statement of events; Aircraft X gear up landing; XA:00; Date 1.On Date; [I] departed ZZZ1 Runway XX on an IFR flight radar; vectors ZZZZZ direct ZZZ. On departure when on established positive rate of climb; the gear selector switch was placed in the raise position. No unsafe gear warning annunciator light came on when the gear should have been in transition and no noticeable gear retraction occurred. Retracted takeoff flaps. Cycled gear selector lever [a] second time with no movement of landing gear up or down. Checked instrument / panel lighting setting to ensure it was not a dimmer issue with gear indicator lights.Once established on course the autopilot was engaged to reduce workload so I could troubleshoot gear situation. Under cruise power settings aircraft struggled to maintain 120 kt. IAS with a very noticeable amount of drag; indicating the gear was still down. Reduced power settings to maintain a speed of approximately 110 - 120 kt.; below the gear extension speed. Inspected circuit breakers and found 5A Circuit for gear indicator lights was tripped. Attempted to reset breaker. Breaker immediately tripped and would not reset. Upon pressing breaker; panel lights would flicker and the ammeter spiked when the reset button was pressed in.Notified ZZZ2 Approach of the unsafe gear situation and requested to continue to ZZZ while still diagnosing gear situation. Referred to emergency checklist procedures for electrical and unsafe landing gear procedures. Pulled landing gear circuit; gear selector lever in down position; [and] depressed emergency gear release down for a minimum of 10 seconds while using aggressive amounts of back-and-forth rudder application to fishtail the aircraft per the emergency gear deployment checklist. Observed no movement of gear; increased drag; or any indication that the situation was any different or indications the gear was down and locked. Adjusted panel lighting for the second time to ensure the panel lights were not affecting gear indicator lights. Repeated the emergency gear deployment procedure per the checklist for the second time with same results. Attempted to reset circuit breakers again and occurred same failures.As I entered ZZZ airspace; [I] advised ZZZ Approach of the unsafe gear situation. All attempts to troubleshoot had been completed and emergency gear extension procedure had been performed with uncertain results. Was cleared RNAV XY Approach via [the] ZZZZZ1 fix. Proceeded direct ZZZZZ1 and advised ZZZ Tower of unsafe gear situation. Flew short final at 90 kt. full flaps with the attempt to settle the aircraft as gently on the wheels as possible. Upon touchdown; felt a momentary touch of the wheels followed by the fuselage impacting the runway and incurring propeller strike. Aircraft came to rest near the centerline of Runway XY with no further incident. Secured electrical; magnetos; and fuel; and exited aircraft. [Airport] personnel responded to [the] scene. Company personnel removed aircraft from Runway XY and transported [it] to [the] hangar for further inspection.