my savage likes nosler 140 #28140 and H414 49 gr.with a COL of 2.880my gun likes hotter loads than your trying , try heaver loads 1/2 gr. heaver in three shot test loads . you mite all so try presser point at the fore arm .i have seen this work on a 243 and a 308 its easy to do just a peace of paper between the fore arm and the barrel
i did have an encore in 708 butit shot like what your describing