You could try braid in 10 lb at a 4lb diameter. That could work. Or you could use a reel that has a larger inner spool to make the winding not so tight or small. Thats what usually causes memory. Love the sig by the way thats awesome!
To combat memory, here is a little trick that I picked up somewhere.
The day before you venture out, take your rod(s) n' reel(s) outside. Find a place with about 100 yards of space. Attach your hook to a tree. Tighten your drag down some. Walk backwards and away from the tree, while keeping a slight arc in your rod. Once your out as far as you want to go, simply reel in and walk towards the tree. But, keep your line snug with an arc in your rod.
This trick, has allowed me to outcast most everyone that I fish alongside. It creates a "new" memory for the line.
I take you are using a spinning reel. If so never use the handle to " set the bail" Always do it with your hand. Also if you are using a spoon or a lure similar put a swivel in front, will eliminate line twist.