TTSX is my personal preference. I hear good things about LRX but havent had a chance to use them. Some folks dont like monos b/c they have limited long range performance before dropping below velocity needed to expand (according to others thats about 350-400 yards with 6.5cm factory loads depending on how much velocity wiggle room you want), and they dont explosivly fragment the way some bullets do (especially some designed for longer range), which causes a narrower wound channel. But we also think nothing of archery hunting, and a mono will kill a lot faster than an arrow in my experience, of the nearly dozen deer sized critters Ive watched shot with 120gr ttsx, all but 2 were bang/flop and the others were down within 50 yards or so. we’re also talking about a whitetail at short range, not an elk thats going to dive 1000 vertical feet into some canyon hellhole if it runs a hundred yards. I dont have to deal with small properties, so maybe a deer running 50 yards is a consideration for you? probably you’ll want to hit shoulder or neck then anyway. My main reason for preferring copper is in my experience it destroys much less meat if you hit any muscle, thats very important to me.
Have not used TA but any expanding bullet will also kill deer fine.