I like the paraffin idea, I've not tried that - being a youngin' paraffin isn't something I've grown up with. But they do still sell it at the petrol station in 5l cans. My local one is open all night as well, so I can get it at 3am as I finish something, unlike the other cleaners where I'll turn around and think "...sure I had another can of that!". I can JUST ABOUT remember there being a paraffin pump down there.
I know why this will work though, it's something called the polarity of the solvent. Water / acetone / dichrolomethane (paintstripper) are all polar solvents, water is EXTREMELY polar.
Things like xylene, hexane, cyclohexane, benzene, toluene, naptha, paraffin and the rest are all essentially none polar. Quite a few of those have literally 0 polarity.
The polarity affects what will dissolve in it. E.g. water will dissolve buckets worth of salt in it, but the salt will not dissolve in none polars (like cooking oil). Lots of things that are sticky or waxy and organic love none polar things. If you look at the wiki entry for 'solvent', you'll see some colourful tables listing the common ones with their polarity. Note the huge difference between xylene and water, for example.
Washing brushes is something solid weeks worth of washing chemistry glassware over the years has made easier.
If you're not going to wash them, at least tightly cling film them. Any single part paint will rely on it being in contact with the atmosphere to cure. Emulsion, the water leaves. Polyurethane, the organic solvent leaves (and smells nice). Gloss, the paint oxidizes in the air to cure. Tightly cling filming them can keep an emulsion brush / roller okay overnight. A loose food bag won't. Putting them in the fridge will slow down the boil off rate as well.
The two parts, like polyesters / epoxies, you haven't got a hope in hell once it's mixed. And you'll probably want to be using a disposable roller / brush as well. There is absolutely no time for tea breaks with epoxies, or clearing things as you paint. It needs to go down as fast as you can lay it.
My dad used to be an artist (selling quite a lot of 6ft oil paintings of footy players mid strike) and was the head of an art college. His brushes used to be fk'ing filthy 24/7.
But I've grown up with quite a lot of expensive artist's brushes around, and wrecked quite a few of them.
I now use a £4 synthetic cutting in brush for absolutely tons of stuff, I've only ever needed to buy one (despite heavy usage), and it's still pristine, with very little effort cleaning it up. Got it from toolstation - the 'professional cutting in angled' brush.
I like the disposable mini rollers as well. I just bought another 10 pack for about £1.50 at toolstation, then immediately went to B&Q to get some stainblock brush on they don't carry. The SAME rollers were £8 in B&Q, exact same things.
If you can't get a decent finish for decorating with a £4 brush and the 10p rollers, it's likely you're doing something else wrong - using too much, not moving quickly enough, not dusting the lines into each other...
I'm now producing waaaay better finishes than I did with all the super expensive brushes / rollers with the dirt cheap stuff. The only difference is around a decades worth of continually repainting the house as people left hand prints all over it.