Your question indicates you may not be aware how little capacity difference there is between the .30/06 and 7.62x54R. Reduced loads for one cartridge are "safe" in the other.
QuickLOAD estimates (NOT tested data!):
Cartridge : 7.62 x 54 R Russ.Nagant
Bullet : .308, 180, Hornady RN 3075
Cartridge O.A.L. L6: 3.040 inch or 77.22 mm
Barrel Length : 22.0 inch or 558.8 mm
Powder : Alliant BULLSEYE
Predicted data by increasing and decreasing the given charge,
incremented in steps of 6.667% of nominal charge.
CAUTION: Figures exceed maximum and minimum recommended loads !
Step Fill. Chg Vel. Engy Pmax Pmuz Burnt B_Time
% - % -- Grains fps ft.lb psi psi - % --- ms
-46.7 22 8.00 1256 630 14298 1902 100.0 2.446
-40.0 25 9.00 1340 718 16908 2122 100.0 2.172
-33.3 28 10.00 1419 805 19625 2340 100.0 1.995
-26.7 30 11.00 1494 892 22450 2558 100.0 1.862
-20.0 33 12.00 1565 979 25382 2774 100.0 1.765
-13.3 36 13.00 1633 1066 28419 2989 100.0 1.672
-06.7 39 14.00 1699 1154 31561 3203 100.0 1.592
+00.0 41 15.00 1762 1241 34807 3415 100.0 1.522
+06.7 44 16.00 1824 1329 38158 3625 100.0 1.459
+13.3 47 17.00 1883 1417 41614 3834 100.0 1.398
+20.0 50 18.00 1941 1505 45178 4041 100.0 1.345
+26.7 52 19.00 1997 1594 48852 4247 100.0 1.298 ! Near Maximum !
+33.3 55 20.00 2052 1683 52637 4452 100.0 1.254 ! Near Maximum !