PA-32 pilot reported Nose Landing Gear failed to extend on final approach when the landing gear selector was moved to the down position. The pilot performed a go-around and ran the checklists and QRH. The pilot was unable to get a down and locked indication for the nose gear. The pilot made a final attempt to land; during which the nose gear collapsed.

Narrative

During the landing phase of flight; approximately 15 miles out on a straight in approach. The landing gear was lowered. The Main Gear Lights Illuminated; but he Nose Gear Light did not. I attempted to trouble shoot for possible bad connection at light socket by wiggling the failed light but this did not make light illuminate. I then cycled the Gear several times but light did not illuminate. I then raised the gear and slowed the aircraft down to approximately 95 kts. and redeployed the Landing Gear several more times but this did not correct the issue. I then performed the alternate procedure to lower Landing Gear by pushing down on the Landing Gear Override Lever which would release Hydraulic Pressure and deploy the gear by gravity. This also did not make light illuminate. I then asked Tower for low approach flyby so that Tower could determine if Landing Gear was down. While on short final for low flyby Tower reported that all three of the Landing Gear appeared to be down and asked if I wanted to make a full stop landing.I assumed that the bulb may have burnt out and decided to continue to land. I touched down softly on the mains and waited to see if nose gear would hold as air speed dropped the nose began to drop lower than normal; so I attempted to add power and takeoff. I felt the blades of the prop touch the runway surface and determined that attempting a go-around would not be a safe maneuver especially considering that I was carrying passengers so I pulled the power back proceeded to land with a collapsed nose gear. In retrospect; when the Tower informed me that all of the gear appeared to be down; it affected my decision making and caused me to change my predetermined plan to flyby and caused me to abruptly abandon any further attempts to trouble shoot landing light.The Controller would not have been in a position to determine if the gear was fully extended without seeing gear from the side view of the aircraft. Had I completed the flyby perhaps Controller may had seen that the Nose Gear was not fully extended; and I may had continued to trouble shoot or at least made an attempt to bounce the Mains on runway to get Nose Gear to lock and illuminate the light. Also I may had been more prepared to anticipate the Nose Gear not being locked and may have been able to perform a go-around prior to blades hitting runway.