Need help with flea infestion

I have been dealing and battling fleas since we took in a stray during a storm. We had checked for fleas and didn't see any on him but we were wrong. Because now they are everywhere. My cat is on bravecto plus but we are still seeing fleas towards the end of each dose on the second month. I am going insane dealing with this since I have health issues and disabilities that limit me physically. So, trying to clean the house as much as I can while also battling these has been draining. I am at the point I want to fogger the house, but we don't have anywhere we can go if we do so I can't take my cat somewhere else for a few hours and do it also my cat has asthma. I have tried various pet safe sprays they haven't worked. I am vacuuming and washing blankets etc as often as I am able, but my health makes it hard to do everyday. Luckily we don't have carpet, but I am at my wits end. My poor cat is struggling despite everything and its upsetting I hate to see the scratching. Does anyone know of any products that would be safe to use? Other sprays? flea traps? I am open to anything.