The value of near plane is irrelevant on its own - what matters is the relative magnitude of the near and far plane to each other.
Set far plane as low as you can without issues. Then near plane as high as you can without issues.
If theres no issues, everything is fine.
If there still is issues, you need to do something else in addition to simple depth testing to deal with the cases where it isnt working (like doing multiple passes for different depth ranges to increase precision withing each range, or depth biasing like you have).