I'm probably a voice out of the norm here and I don't want to flame but I don't agree with the idea that filters are necessary for bettas.
I'd quite like to know why you have/where you got such an idea. What I mean is, why do you think bettas are in any way different to any other similarly sized fish in such a way that they do not require filtration like other tropical fish?
I know you haven't said this, but I have seen people say something to the effect of " well they can breathe air so they don't need a filter " which makes
no sense whatsoever as the labyrinth organ is a survival mechanism for coping with low
oxygen and has nothing to do with ammonia tolerance.
Bettas are basically the same as Gouramis, both labyrinth fish, and apart from current and temperature needs, they require much the same treatment. Yet how many people keep gouramis in tiny unfiltered tanks? I really do not get why people see bettas as different. They are certainly no more "hardy" than any other fish that's for sure. Along with goldfish they are right up there as some ofthe most long suffering species due to tanks that are too small, and not having a filter.
I don't feed my fish a lot. Every other day on all tanks, and not too heavily at that. Even with the filters I do 50% water changes every single week.
Anyone that keeps a filter, do you change your media once a month (half at least) and do you regularly wash the media in tank water?
You shouldn't need to change any media until it's literally falling apart. I know the boxes of filter pads tell you to, but that's basically to get you to buy more media. I just rinse mine in tankwater , just to get the main sludge off, and stick it back in the filter. I do that when the flow starts to slow down ( roughly once a month )