I did start putting out traps however now when I see a grub during an inspection I'll squash it but apart from that nothing, the bees do the rest.
I'm a keen gardener and travel down the organic path too. All our vegetables are grown aquaponically so all pesticides and herbicides are off the table because of the fish. The first couple of years the pests drove me nuts, now the beneficials have caught up its a lot easier but still tricky. Running a whole farm organically would do my head in so hats off to you.
Not having varroa and shb here the bees can look after themselves, there are feral colonies everywhere so we are lucky in that respect, just more competition for our bees... We have lizards, snakes mice, rats, dragonflies, birds and ants who all like a tasty morsel of bee or bee produce and I do what I can to help the bees but I will keep inspecting and watching the hive entrance and act when required. The more experience I gain the faster I spot and act.
Spotting queens ain't easy, each time I've seen them has been a fluke and once seen all they wanted to do was get to the other side of the frame and out of sight. It is best to capture the queen however as long as you get some comb with brood strapped to a frame they will make their own. Don't try to look for the queen just watch their behaviour, look for where their interest lays. They will bunch around the queen swarm like after you have removed the comb. Return the following day if you can and look for bunched bees in the area if you are unsure of queen capture.
Good luck with your cut out, when you capture this colony it will give you a great sense of achievement and the colony will be worth so much more to you because in a round about way you made it. Remember this will be your hardest removal, all after this will be easy.