See bore slugging in the FAQs and Help sticky.
Have you checked the latch and latch shelf for oil? That's the number one cause of inaccuracy and the easiest to fix. If it won't shoot 3" or under groups, contact H&R and ask that it be repaired, mine shoots two shots touching or close to it and the third opens the group to about 1", that's with two different factory rounds, nothing done except a trigger job, never needed to handload for it, 25-06 H&Rs are typically very accurate.
Dunno what ya mean by 25-06 "heavy barrel" as H&R only offers a standard contour 26" barrel, if it's shorter than 26", it's been cut off which may give it the appearance of being heavy. Their standard contour barrels are typically heavier than other makes though, but not as heavy as H&R bull barrels which are ~.800" at the muzzle.
Tim