Cleaning Mold on Ohia wood fence

Living in Hawaii certainly has its benefits, but one of the drawbacks is maintaining exterior surfaces, particularly wood.  We purchased a home with a stunning Ohia wood fenced lanai.  Unfortunately, it was initially covered in polyurethane which had not been maintained, was yellow and flaking, and required complete removal.  That took about 2 months of weekends spent stripping (used CitriStrip), sanding and cleaning. 

On recommendation from a local carpenter I utilized Penofin oil to seal the wood which resulted in the first 2 pictures.  I was really pleased with the outcome and for the first 2 years I washed and cleaned the wood and re-applied the oil on a 6 month basis.  We receive a lot of rain on the windward side, and sun as well.  Unfortunately, in the past 3-6 months, black mold appears to have taken root.  I have used MoldControl to try and keep it at bay on an almost monthly basis, but with limited results.  Furthermore, in order for the MoldControl to be effective I have to leave it on quite a while and when removed, it ends up basically stripping the wood.  I was hoping Penofin would be sufficient along with routine maintenance, but it doesn't appear to have the mold-killing capacity to keep up with the rate of growth and I physically don't have the time to redo the entire process every 3 months.  

My goal is to have a natural appearance while reducing mold growth.  Based on reading some other forums and recommendations, I plan on doing the following:

1) Kill the mold using "Restore a Deck" or something similar (effectively start over)

       - Do you recommend using a mold killer or Deck Cleaner to perform this step?

2) Use a brightener (again, Restore a Deck or similar)

3) Seal using a stain or equivalent

       - Do you have any recommendations regarding how I might be able to achieve greater protection from mold while reducing (or at least minimizing) the large-scale maintenance?  I suspect a semi-transparent stain might do the trick, so you can still see grain, but increase the amount of protection.  Is there a particular brand that has good mold-resistance properties?

4) Treat with a non-stripping mold killer every 3 months or as needed

      - Do you have any recommendations for mold killers that aren't as abrasive?