If the rods will be used 100% for trolling I would heavily favor the mono. The stretch will help reduce break offs. The braid is a clear winner when bottom fishing for many reasons but mono gets the nod on trolling.
I disagree with FishOn. The mono will stay up in the water column, the braid will not. I spoke with the people who make the Montauk Bunker Spoon at the RISAA show and they told me you needn't use wire to trool their spoons just as long as you use braid. The braid will sink sufficiently to allow the bunker spoons to get to the right depth.
Trolling lures,baits mono , braid for fishing vertical.
Bunker spoons is a whole different thing, best done on wire and custom rods made just for spoons.
Ronnie, I bought a Seeker wire rod that is made just for the big bunker spoons. What a great piece of equipment. Actually bought it from a Board member, CapeCod Kid.
I was originally thinking mono, but then for the same reason as piemma, I feel the braid will sink better, and bring the umbrella closer to the bottom.