An effective and inexpensive biocide that is photographically inert is sodium salt of 2-phenylphenol. It's not the safest compound on the earth, but it is relatively nontoxic to mammals if compared among biocides.
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Household bleach or sodium hypochlorite is not desirable where it may come in contact with photographic materials. It is also not the best thing to allow a long-term contact with plastic materials.
Another common trick for algae suppression is to use a borate. (Borax, tetraborate, metaborate, kodalk and boric acid are all toxic to plant, but this is an application of this fact.) This is common for pool water, where about 20ppm of borate is used in combination with chlorine. For your application, 1.0g per gallon of sodium metaborate (Kodalk) is probably a good starting point, most preferably in combination with a few flakes of sodium o-phenolphanolate mentioned above.