I guess it all depends and what you are planning on doing (hunting, target, long range, etc..) The biggest problem I ran into is getting L/H rifles, they are in short supply (Yes I know most large dealers carry some, but never what are exactly looking for) It is always compromise when shopping for a L/H rifles unless you want to wait.
Anyways, I have 2 Tikkas T3's - a T3 Stainless Lite in .270 win and a T3 Stainless Varmint in .308 win., both are great rifles, super accurate, 1/2 moa right out of the box, great bolt and a adjustable trigger, what else do you want in a rifle? My only complaint for the T3 Lite, is it is really light, and once you add some optics it feels very front heavy ( I have a Ziess Conquest 4.4-14x50 - which weighs in at 20 oz) and a bit out of balance - with a lighter 3x9 scope it may not be an issue.
I really wanted a T3 tactical in .308 win, but not offered in in L/H, the other great option is Remington 700 which offers a variety in L/H, the SPS it a great rifle if you are looking for a heavy barrel, plus lots of aftermarket support for R/H Remington's, but stock options again will be limited for L/H rifles, so it may not even be a issue.
/cl