Cast and mend, floating line. Traditional fly fishing methods.
If you use a subsurface line, you'll have no choice but to strip it.
I use 2 streamers most of the time. A big one chasing a little one.
I tie a 3 part leader of about 8' with 4 feet of 40# butt, 2 feet of 25, and 2 feet of 16# tippet.
With your leader shorter than your rod, you don't have to worry about the line/leader knot getting caught up in the tip-top while you're struggling to land a fish.
I use a loop2loop connection between the mid section of the leader and the tippet and when I tie the loop in the tippet material, I leave a tag of about 8-10 inches to tie on the dropper.
It won't tangle as long as you cast with an open loop.... don't worry about that.
Fishing with 2 streamers is great fun. I once got doubles 6 casts in a row.
However those were little dinks.
When there's big fish around, take off the dropper after you learn which fly they like better.
I once made the mistake of casting to a pair of legal fish that I saw cruising in the surf.
Hooked 'em both... never again will I do that