While I normally agree with getting IS on any telephoto lens, in this particular case the OP is attempting to capture action in very poorly lit conditions. Based on the example, he is about 1 stop under exposed at f/5.6, 1/200 and ISO 12800 on a 70D. Ideally, he should have a shutter speed of at least 1/800 and an ISO of 3200 (6400 at worst) with the 70D body he is using. Even an f/2 lens will be a compromise, as it would yield a proper exposure at f/2, 1/400 and ISO 6400 under his conditions.
I doubt the OP wants to spend the amount required for a EF 200mm f/2 IS lens.
In this particular case, I think the 135L is probably the best "affordable" solution.See he is on a crop camera. I'd never recommend 200mm for a cropper for hockey.
I'd recommend an 85mm 1.4 like the Sigma. Indoor low light I find F2 struggling sometimes when I need shutter at 1/800+
IS also helps the AF lock onto target easier too. Don't forget that



