I tend to hunt in public areas (with large crowds of hunters) or in the mountains of south-eastern KY (where fatally hit deer can go a long-ways straight down steep hillsides)...so I tend to put bullets through the shoulder, which seems to solve the problem of deer movement after the shot (DRT).
I tend to use a slightly heavy for caliber bullet...my 7mm Remington Magnum currently uses Winchester 150-grain Supreme Ballistic Silvertips (extremely accurate [0.5 MOA] and very effective)... I have had issues with both standard bullets and BT-style in standard or light for caliber weights (ex. 130 grain Silvertip in 270 Winchester)--too much initial upset, lack of penetration, core-jacket separation.
For complete penetration with "explosive" initial performance (IMO the best all around bullet out there) go with a medium heavy for caliber Nosler Partition...and be prepared for large exit holes and massive damage... MOSTLY NOT NEEDED FOR WHITETAILS, though much appreciated on Elk, and reassuring on Bear.
If you want a light for caliber bullet, go with either a bonded bullet (Accubond, Scirroco) or a solid copper bullet (X-bullet, Failsafe) though they do not tend to expand well on deer (in my experience).