I've used both the 62 and 70 grain TSX bullets (not the tipped TSXs) out of a 1:7 twist barrel on several deer. Both have worked very well. They have left fairly big wound channels and all have been pass through shots.
Barnes bullets will not expand when shot into things like wet newspaper or other home style "test" media. They are designed to expand after impacting animal tissue. I've used the same bullets on groundhogs and they seem fully expanded before exiting since they darn near tear the groundhogs in half sometimes. Barnes claims that the TSX bullets are fully expanded after only 2" or so of penetration and the results of groundhog shooting seems to back that up.
I would note that the Barnes website calls for a 1:8 twist for the 62 grain tipped TSX and a 1:9 twist for the 62 grain TSX. You might want to call them at 800-574-9200 and see what they have to say.
Since stability problems may not show up for a considerable distance downrange I'd recommend shooting them at the longest distance you expect to hunt. I've seen bullets near the edge of the stability envelope group fine at 50 or 100 yards and then do some goofy things.
If the Barnes bullets don't shoot as well as you like I, like Lloyd, would recommend the Partition. They would have been the next thing I would have tried if the Barnes TSXs didn't work.
Lance