Are you talking about a fishing rod or a Tip-up ?
I fished on ice with my uncle in Minnesota on a private lake about 20 years ago.
We fished inside a shack using small rods with 6 Lb. mono. He had a couple of tip-ups with 10 Lb. mono. We caught 6 perch using tiny jigs on the rods.
Old post, I know.
I'm from Minnesota and spent most of my winters ice fishing.
I used either 2lb or 4lb mono on most of my rods. m=Most my fishing was for panfish and trout. Cold wader demands light line..period!
I'll be ice fishing here in northern MN in about 2 weeks. My lake is just freezing over right now. Your wooden pole set-up is an antique. For panfish I use 2# and 4# test. Walleye 6# and Northern Pike 10# test with a steel leader. The Northern in my side picture was 19#s on the boga grip.