Congrats on a GREAT rifle. 8)
I have a couple of RSI's and they all have one thing in common: the barrel heats up quickly, and takes a fairly long time to cool down.
The RSI's have a "thin" barrel, which will heat up quickly. The full length stock surrounds the bottom half of the barrel, which prevents the barrel from cooling down as quickly as a gun with a "standard" stock.
I have found that my RSI's will typically put the first two shots very close together, and then begin to string the shots vertically.
The first thing I would try is to allow 3-5 minutes between EACH shot, with the bolt open, to see if that will tighten up your groups.
We haven't even discussed your ammo, bullet weight, etc., which could all have a major impact on your group sizes.
Don't give up. The RSI's are great guns and are certainly capable of the kind of accuracy needed in a hunting rifle.