Rob,
If you can get once-fire Winchester brass for $10 per hundred, then I would do that. Lapua is about $60 per hundred, and Norma requires you to take out a second mortgage on your house. Spend the time and match prep your Winchester brass. That includes: uniforming primer pocket, deburring the flash hole, and then making sure you don't have any exceedingly heavy or light cases (save them for fouler shots).
There are several things that you will want to do to develop precision loads in your '06 (we are talking about a bolt gun, not a Garand). First, you want as little neck tension as possible; just enough to hold the bullet in place. I don't know what kind of dies you have, but I would recommend you get a set of Redding bushing dies. Winchester brass has very thin necks, so you will likely use a .331 or .332 bushing. To determine this, measure a loaded cartridge using Winchester brass at the neck and subtract .001 from that number. Next, you want to know where your rifle's throat is, so that you can load your ammo so that the 190SMK is close to the leade. I suggest the Stoney Point OAL Guage used in conjuction with either a Sinclair comparator or the comparator made by Stoney Point. Once you measure your chamber OAL, you can set your seating die to seat your bullets in relation to where they would contact the leade. I like to seat the bullets so that they are either .010 off the leade, or .020 into the leade. RL22 is THE powder for the '06 with the 190SMK, so don't waste your time with anything else (BTDT). Have also found Fed 210M primers to work as good as anything, but you can experiment here with something else you may have, as long as it's not a magnum primer. Somewhere between 60.0gr and 61.0gr of RL22, you will find 2850-2900fps and an accurate load. Good luck.
Don