OK, about 45 years ago when I started brewing we had no closed fermenters available.
My first attempts amounting to maybe a dozen brews were all of poor quality with off flavours that I was then unable to ID.
My Dad laughed often, & helpfully suggested Black Label Scotch would be lower cost. Most of the really awful ones went down the sink.
I then married & we occupied a small flat with an outdoor potting shed.
Suddenly my brews were free of whatever the problem was, fermented in "Gladwrap" covered washing machine bowl situated in the potting shed (no dog).
Up to this time I had always used undiluted bleach to sterilise my gear, and plenty of it!
Water was from the same municipal supply, gear was unchanged, method unchanged.
So what was going on?
I never discovered the true nature of the problem.
Looking back as I often have done:
Use a filter for any tap-water used. I now use an under-bench carbon block filter 0.5 microns & draw water at about 3 litres per min MAX.
Consider brewing somewhere else, maybe at a friends place, even if just to prove a point.
At the very least don't use the dog shed!! It may not be part, or the whole, of the problem but you have to isolate the most obvious first.
Use lots of undiluted bleach & sterilise everything, include bench tops, all utensils, thermometers, hydrometer etc. Wash & scrub your hands & lower arms. Lay your gear down on dead dry freshly laundered tea towels (as a surgeon would his instruments).
CAUTION: undiluted bleach is dangerous, use eye protection always & dress in old clean clothes.
The bleach needs an exposure time of around 2 mins, it must be run through your fermenter tap & it must be allowed to cover the fermenter top & saturate the airlock.
Of course you will finally need to thoroughly rinse, (twice) all treated equipment; use only boiled water, water from the filter recommended or hot water from your domestic kitchen supply. Note that some hot water supplies operate at below the pasturisation temp of 70 deg C. You need to be sure any used hot water is sterile, so it must be capable of storing & delivering at this temp. Adjust your thermostat if necessary.
BTW things are clean when they smell dead clean - after sanitising & rinsing you can do the nose test.
Keep things covered where you can or where unavoidable exposure to air is likely.
Remember whatever organism is infecting your brews it's from: the water, the air, from you or your gear.
Keep trialing with K&K brews, and keep everything simple, don't follow red herring trails & you will find a solution even if not the exact source.
For the record: in the last 35 years I have had no infections in bottles, kegs, or in the fermenter.
Are my brews (from modified kits) great? Well they are OK but not fantastic.
That's the best I can offer, hope you sort this out soon.