As others have been talking about and as you seem to know, truly sterile is a very, very high bar which even labs struggle to maintain (thus the frequent microscope checks), so my focus has always been to minimize potential contamination vectors and then have redundant cultures. There are probably dozens of small optimizations you can make to your process that don't involve extra equipment to help minimize contamination.
Sterilize containers and airline tubing between runs
Make sure there is positive pressure running on the culture when it is active to keep out airborne contaminants
Make sure the inlet of your air pump (especially if sponge or cloth material) is clean/sterilized
Make sure to restart cultures regularly (running a longer time gives contaminants longer to take hold and start taking over, generally the phyto will outcompete contaminants in early stages of growth)
Sterilize the equipment used to measure out fertilizer
If the fertilizer pipette (or similar) touches an active culture vessel, immediately replace it with a new sterilized one
Wash your hands between handling different strain's culture vessels
Immediately cover an active vessel when not using it/starting to work with another
Don't overfill vessels to reduce chance of bubbling out and spatter
Keep fertilizer in a cool, dark place to minimize growth of contaminants
Make sure the method to check salinity of the fresh saltwater to start cultures doesn't cross contaminate (different pipette and fully dry refractometer in my case)
Physical separation between different strains on your growth rack reduces chance of random spatter, physical separation from your tanks or any zooplankton cultures further helps
Being far away from other vessels when transferring between another (reducing spatter risk)
Not keeping strains above each other (I don't do this, but a single row reduces contamination risk)
Sterilize containers and airline tubing between runs
Make sure there is positive pressure running on the culture when it is active to keep out airborne contaminants
Make sure the inlet of your air pump (especially if sponge or cloth material) is clean/sterilized
Make sure to restart cultures regularly (running a longer time gives contaminants longer to take hold and start taking over, generally the phyto will outcompete contaminants in early stages of growth)
Sterilize the equipment used to measure out fertilizer
If the fertilizer pipette (or similar) touches an active culture vessel, immediately replace it with a new sterilized one
Wash your hands between handling different strain's culture vessels
Immediately cover an active vessel when not using it/starting to work with another
Don't overfill vessels to reduce chance of bubbling out and spatter
Keep fertilizer in a cool, dark place to minimize growth of contaminants
Make sure the method to check salinity of the fresh saltwater to start cultures doesn't cross contaminate (different pipette and fully dry refractometer in my case)
Physical separation between different strains on your growth rack reduces chance of random spatter, physical separation from your tanks or any zooplankton cultures further helps
Being far away from other vessels when transferring between another (reducing spatter risk)
Not keeping strains above each other (I don't do this, but a single row reduces contamination risk)