hi rep squats may be better for what you are doing. as well as cleans and its variations.
as for translating weight room work to grappling, that is what tactical/skill work is meant to do. to convert that bench press to usable strength on the mat. you may also want to switch your lifts so they can carry over more easily. try things like, atlas stone lifts, farmers walks, overhead squats, sledge/macebell work, KB work, clubbell work, sled work, tire flips.
worry less about muscles and more about movements or think of parts like the spine or hips. for example with those 2 parts you can have a day that focuses on strengthening the spine. doing deads, overhead squats, good mornings, bent presses, etc. you could do an overhead day where every lift at some point must be over your head. like 2 handed anyhows, turkish getups, snatches, jerks, etc.