You need to be more specific regarding the base metals joined. E6010, E6013, E7018, ER70S-3, F72-EM12K and numerous others can readily meet your requirements assuming you are welding low carbon steel materials with a PWHT of 1250F at 1 hr/inch hold - 1/2 hr minimum.
The base is SA 516-55. Max Bn allowed is 170. I wouldn't anticipate problems with the HAZ, but, I haven't seen weld hardnesses, using the consumables you mention, consistently run that low. However, I don't have any data with a PWHT temperature at 1250 F either.
I've run some hardnesses with E7018 with PWHT at 1250 F one hour hold. Hardness values were between 130 and 150 BHN. Much of today's E7018 has very low carbon; often below 0.06% so even meeting the 70 ksi min UTS is difficult at 1250 F. At 1300 F it doesn't.
