Assuming Calgary falls off, which I think they will, I would have my #1 target for the deadline as Rasmus Andersson. As much as he's annoyed me in the past he checks basically every box for what the Oilers are looking for beside Nurse. Decent size and grit, RH, mobile, good puck mover, 2-way with quite a bit of offensive upside, and a 2nd year left on his deal.
I know this team is seriously lacking on future cheap options so trading the few options we have is tough to stomach, but I'd have no issue giving up the 2026 1st, and one maybe even two of Akey, Savoie, or O'Rielly for 50% retention. Hell the Flames seem to love Russians, and Beryozkin's stock might be sky high at the deadline if he keeps it up with the season he's been having so far.
Who knows if the Flames will actually be looking to move him. They might try to re-sign him this summer, but I think once they fall back to earth they might realize that they're still a few years off with this young group and might consider something like this.