I have used Barnes in my 243 and it worked good and was accurate with my first load I picked.If you normally have good accuracy with 168 grain in a lead bullet you might want to try a 150 because they are long bullets.I'm ordering 130 and 150 to try in my 30-06.I used 85 grain in my 243 that shoots 100 lead great.Submoa.com sells sample packs of 12 to test with.Barnes are double lead bullets so you might try that first.
I never used them in a 30-06 but we've been using them for the past several years in 300 wsm..308 and even a .223.We shoot the 150's out of two different .308's with a stiff load of varget.I can't even tell you how many deer we've killed with that load but terminal performance has been excellent from point blank range out well past 200 yards.My recommendation would be to go to Barnes website and start with their recommended load.It's been dead nuts on for me every time.
I have been using 165 gr. TSX over IMR4895 and have had good results. I have no complaints on accuracy or performance. They do as advertised with 99%+ weight retention on the bullets I recovered. Gel blocks show very good channels.