To add to what carburize had mentioned, you could use a nickel electrode (like Ni99). The tensile strength would match the tensile strength of your steel drum (UTS of around 70 ksi). The Ni99 has good ductility to avoid generating significant residual stresses.
Because of the hardenability of 4140 alloy steel, you could also look at using a temper bead technique to avoid stress relieving. Before attempting this method, I would generate a weld coupon to optimize the welding parameters to verify softening of the heat affected zone.
Preheat of 350 deg F is recommended and staggering the weld passes should be done to balance shrinkage stresses. The concept would be to apply a "butter" layer on the 4140 side of the weld joint and lay subsequent weld passes while remaining on top of the butter layer to temper the 4140 alloy steel heat affected zone. The interpass temperature should not exceed 700 deg F to avoid generating too much heat to affect the gear heat treatment. If the temper bead technique can provide adequate softening, it may help to keep distortion to a minimum.