Could be path west here. Looks like a public ROW.

Strava heat map shows route from here east to Duncan Lane

Strava heat map shows route west to Hyla Avenue

Route of the Creek is probably wrong.

I doubt there's a neighborhood called "Bainbridge" on Bainbridge Island. Needs checking on the ground.

ridewithgps heatmap has several routes into here. survey for informal paths.

There a lift for wheelchairs here, to get up to the main floor. Sign on it says it's closed for maintenance.

ridewithgps heatmap has trails in the SE here south and west of mapped. survey.

ridewithgps has the wiggle south of mapped. survey.

Multipolygon has got messed up here, and there are trees in the water.