30-06 Springfield - 150 grain Speer SP bullet, 28.0 grains of XMP 5744 powder, CCI 200 primer, Win. case. COL 3.250". MV 2052 fps in 22" barrel. (Based on the Speer Reloading Manual No. 13.)
.30-06 Springfield - 165 grain Speer SP bullet, 25.0 grains of SR 4759 powder, CCI 200 primer, Win. case. COL 3.250". MV 1941 fps in 22" barrel. (Based on the Speer Reloading Manual No. 13.)
or, you could try reduced loads with Trailboss powder, but i don't know how fast they'd shoot.
You are right, to get good accuracy out of reduced loads, it is better to use a bulky powder.