Be a bit of a tight squeeze. I had a look at 6.5x284 on my 7mm-08 predator action, it just to say extracted with the 140gn bullets but only just. They certainly didn't fit in the mag.. I ended up going for a long action donor rifle for the 6.5x284 to give me plenty of space. I think with the 7mm high BC bullets, you wouldn't stand a chance in a short action. Not so sure about the 7SAUM or 7WSM.. but imagine either a new bolt would be required or a bit of engineering required on the old one.
PS: Im no expert..