The translucent tank isn't the problem. Many of us have used them for years without ever having an algae problem. That being said a black coating wouldn't hurt but I don't think that it'd solve your problem.
I've had boat tanks that were opaque f.g. and opened them up and it almost put me off drinking water from them.
Stuff does grow in both the tank and the lines and for most folks regular sanitizing is all that's required.
What is your water source? Is it chlorinated city water to start? If not then I'd suspect the water source. If so, then more chlorine shock treatment would probably fix the problem.
Ron