Mech and sapper raids playing on a wandering grav ship play through

Im struggling to maintain and advance my ship while also fighting off these specific raids. I can handle one of either but it takes me a while to recover after. Shamblers+ any of these has also been a slog but i have enough shotguns for them now. I have 5 cores rn. Iv downloaded rimatomics for more power/turret options which i think may help but any other tips? The pikemen just stay behind the hordes and shell me (i have a great melee pawn but he cant be on all corners of the map at once). If i catch then early or they dont attack immediately i can get my snipers out there and primary them but its not an reliable strat. I also have issues countering the 15-20 man LAW rocket spam. Each pirate has a reusable rocket and they just flatten my security cordon.

Playing with all dlc+ce and some basic/storage mods.