Although I'm not answering your question, I have to say that I do not subscribe to the notion that there is any tangible advantage to a short magnum over most traditional magnums, with the possible exception of the .270WSM. IMO a couple of ounces, slightly shorter overall length, and a marginally quicker action will not provide any real word difference to me. But that's just me, and you may find your circumstances differ from mine.
I don't shoot from a stand, I don't have to do too much hiking, my shots are usually under 400 yards, and I haven't required a quick follow-up shot yet (I cannot see how 1/10 of a second will make much of a difference to me if I ever need that quick follow-up).
FYI:
I bought my son a .243 Winchester a few months ago. A month later I bought a .270 Winchester, ostensibly for my wife, on impulse. We took those rifles out to the range so that my boy could try-out his new gun and I could check the zero on what was really my new toy. My son shot a few rounds with his gun and then decided to try mine. He printed a 2" four shot group at 100 yards. The kid is maybe 115 pounds and he loves the .270; the .243 is his younger brother's now.
I cannot say enough about how pleasant the .270 Winchester is to shoot. IMO it would make a great calibre for a first deer rifle and you could probably find one very reasonably priced in the EE. The 25-06 Remington, like the .270 Winchester, is a long-action calibre based on the venerable 30-06 Springfield; it's also a very nice round to shoot. I've read that the .280 Remington is very nice as well, but it may be difficult to find ammunition as readily as for the other two.
The .270WSM is just all that and more, it shoots flatter and faster than the .270 Win, but it probably kicks harder too. You are not a handloader, so it is reasonable to suggest that you will be using factory loads. As far as I know, the 7mmWSM and .300 WSM do not match the performance of their long action counterparts, but then they probably don't kick as hard either.
Having said all that, I do appreciate the attributes of the .243 Win, .260 Rem, 7mm-08 Rem, .308 Win, and .358 Win; all short actions based on the .308.
You want a bolt action so:
I'd say if you are thinking of a short action for your first deer rifle, try the .260, 7mm-08, or .308. If you want more power try the .270WSM.
If you want a long action you could do a lot worse than either the 25-06 or .270 Winchester. There are quite a few other very good choices as well, but there are just too many reasons to choose one of these two.