Brand isn't as relevant (get good quality, tho...) but 40-45" MH is the right kinda rod for Lakers anywhere. You want some backbone and muscle to be able to get the fish up easily and not have to really play it out.
38" HT Laker Pro ice.
I have several and use them for all the larger species. They come in other lengths too 45" max I believe but tough to find locally. They have been great rods and I find they have have lots of backbone and still can see the bites unlike some other heavier rods. Many have been caught on them and no issues so far.
I got mine at WSS but since they are gone the only other supplier I think is TFH and only 38" IIRC. Amazon and Sail in Canada carry the longer ones I believe for online purchase.
I run the 38” heavy frabill ‘gussy’ ice hunter rods or the 40” Jason mitchell Mack rods at cabelas. The Jason Mitchell’s have 12” handles! They’re on the stuff side for the 2-4lb lakers at cold but they jig heavy tubes nicely and are great for the above average size fish. Did I mention 12” handles? Need to start a ‘make handles long again’ movement.