Yes for 10g no one is making these (or at least good ones) even though I do not believe they would be entirely useless. Proportionately to the water size, they would do the same thing as in larger tanks.
Nanos are a different setup than, e.g., 50 gallons and larger, and then there is a big tank category (300g+) that needs additional considerations.
Not being able to run a skimmer is a key limitation in a nano, parameters are very volatile, but mistakes can be fixed relatively quickly - remove rocks, large water changes, scrub off things, etc. It's the bonsai way of reefing - needs patience, and precision (both are not my strengths), not necessarily a beginner size even though this is how it is being marketed. But looks nice if you are not aiming for super difficult corals that cannot take swings well. Looks like the ones you picked work well.
I do not believe you mentioned if and how many fish you have in this? Given skimmer is not an option, you might not need any filtration. Did you test your water?
In your case, I would probably not use any mechanical filtration, let your biological fitration handle everything, and the beloved water changes, but look for a small media reactor and add granular activated carbon into it, if you find one that is small enough to fit in the back - I think I have seen very small ones but your tank might still be too small.
And one additional tip: get a 50g tank with sump at the next opportunity. You will have even more fun with this

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