I don't think you can pick a bullet that can b depended on to leave a blood trail.. That seems to be dependent on luck and/or bullet placement. I say that after seeing deer killed with 338s and 300 Magnums that left no blood trail.
If I wanted to increase the odds of the deer not going far, I'd use something like a Nosler Partition and shoot with the vertical crosshair resting on the edge of the front leg and the horizontal crosshair 2/3 of the way up the body. The works fine from the couch, but in the field things often are not that neat. even then, I think the Nosler Partition gives you the best odds, all possibilities considered.

Royce