Great question, and also I like the “over-lapping strips” idea of ShotenStar’s very much.
Yes, Marehead will tolerate bandage scissors. In fact, I studied the problem intensely and I can recommend Trauma Shears rather than bandage scissors for our application:
Check it out: https://en.wikipedia.org/wiki/Trauma_shears
I went to a medical supply store to get these (no one else, not even my pretty-well-stocked farm/feed store had 'em). They are sharper and longer than bandage scissors. They did a much, much better job than the bandage scissors did. And the price is the same: about $9 for a pair. Also, the medical supply store was the only place to have really big telfa strips. “Big” at the farm store or pharmacy was 3"x4" only. 3" x 8" was to be had at the medical supply store. But they did not have Elastikon, nor know what it was. Perhaps we don’t need to stick bandages to people quite so hard…
In any case, cutting off a ring of Elastikon around a leg will get you only so far with a horse who has a time limit on her. And you still have to pull off some bits… after having poked next to her skin a few times rather than once.
The mare really is quite, quite broke on the ground and if I can get another person to help me, good handling plus my helper perhaps lifting up the other foot for crucial parts has worked. I bring a humane twitch with me into the stall as part of my kit, but we have yet to need it.