The Ballistic Tips hold together much better than the SST's you have been shooting, especially the BT's in 30 cal heavier than 150 gr.
For what you need there are far more good options than bad. I'd stick with 150-165 gr bullets. The heavier bullets are meant for larger game such as elk or moose. Almost any of those will easily take deer.
Hornady SST's have a reputation for being the most explosive and often don't penetrate enough on large animals, but deer are small. Realistically the SST should be a good choice for whitetail, rapid expansion with no exit holes usually drop deer the fastest with no need for a blood trail.
The Interlock is a good bullet for normal ranges. It's poor aerodynamics make it less than ideal for long range work. The same can be said for almost all of the other bullets such as Remington, Winchester, and Sierria. They'll all kill deer at reasonable ranges.
The Nosler Partition has the best reputation for rapid expansion along with good penetration, but poor BC's mean there are better options once ranges get over 300 yards. The Ballistic tip is the most aerodynamic of the Noslers, but it earned a reputation for rapid expansion just like the SST. Nosler addressed complaints at least 10 years ago and toughened the jackets on certain BT bullets. A 165 or 180 gr BT is now a tough bullet, lighter weight BT's may still expand too fast.
The Nosler Accubond is probably my top choice for an all around bullet. It performs much like a Partition on impact with game, but with very good BC's identical to the BT for extended ranges.