Mid-week I also became obsessed with the idea I wanted to get there via seeing the sunrise on the beach, take a walk across the jetty to the sidewalk to the lighthouse. On the second try I did accomplish this and it was a most wonderful experience!!
Here are some views of Barnegat Lighthouse as I approached it (after the sun rose).
|Walking along the jetty|
|arriving at the walkway|
|Another slightly different angle from the walkway|