You can apply all the filtering techniques you want, you'll still have to do partial water changes weekly, and a full water change from time to time.
You will need mostly mechanical filtration, get the kind of filter that uses a pleated paper cartridge, buy an extra filter, and let it soak in a bucket of water and bleach solution to clean it until the next week, where you do a partial and rotate the filters again. I used a pair of magnum 350 canister filters with the micron paper cartridges, but that was for a bigger pond. For 55g, you could get away with one, but you will need to do partial water changes. No matter how well you filter urine, it's still urine. I also used a pair of heavily modified H.O.T. 250 aquiarium pumps for this, they take the same filter, you'll most likely need to relocate the intake and output so they aren't so close together. If the turtles are small, you'll need to keep the water fairly still so they don't have to fight the current, otherwise they won't make it.
My magnums were awesome, water changes were easy, shut off the pumps, swap filters, move hose away from pond, turn on pump until the level gets low, then turn on the garden hose until the water was at the proper level. If you don't add any chemicals to the water, the paper cartridge acts as a bio filter, and as long as you have some surface agitation and a some water movement, you'll have clean water until the filter plugs up and slows down the water flow. If the filter slows down too much your bio filter starves, your movement stops, and the water turns bad in a few hours.