I kept BWM for years, ran the whole flock together all year round, never used iodine or castrated or took off tails. Only thing I needed to do with them was watch for flystrike and shear once a year (and occasionally help a ewe - not that they were ignored you understand, just saying they were pretty stress free sheep to keep
I soon had mine bucket trained. Are you giving them a bit of feed? If so put it somewhere you can trap them. They may be wary at first, but after a bit of feeding (and not hasseling) they should go in happily then you can spring the trap
I had a ram with mine all year round, which meant lambing occurred when it occurred - earliest was about 2nd Jan, and of course lambing often went on for a couple of months, but in general they were easy lambers and always very good mums, and after the first 3 or 4 years of faffing around I let them get on with it, don't think this would work if they were crossed with a much larger or long legged breed like a Suffolk, but the pures were easy lambers
If I couldn't get the uncastrated boys away before tupping the main ram just kept himself between them and the ewes till everyone was served.
Try and arrange it so you can handle and feed the lambs otherwise the flighty ewes will teach their offspring and you will never get an easy to handle flock
They are real nice to keep, if I could I would get another flock. And beautiful meat.