Hornady SST's are the same bullet as their BTSP, but with a plastic tip, and are perfect for your application. The SST's will kill any deer that walks this continent. Even the 350 pound Canadian deer. Those Texas deer are the same size as our Florida deer I hunt and regular ole bullets are built specifically for deer sized animals.
I use regular 130 grain soft points for deer out of my .270 and only step up to a premium bullet when I take it elk hunting.