double dropper
Per QuickLoad, the burn rate of RL-22 is 0.3860 and it is 0.4090 for RL-23. So RL-23 should perform reasonably well if not great in a 30-06 sized cases not to mention the supposed rock solid stability over temperature.
ohiohunter
RL-26 has a published drift rate of 0.5 fps per degree F. Alliant characterizes this as "moderate". Hodgdon says their Extreme powders are "stable". I don't have any numbers for Hodgdon powders but my experience indicates that the are in the area of twice as stable as the RL-17/RL-26/RL-33/RL-50 family of powders made for Alliant by Nitrochemie. Were I you however I would give RL-23 a try as it is made for Alliant by Bofors in Sweeden an along with RL-16 is supposed to be as stable as you can get. It is a little slower powder than H4831 which might work out very well for you.