I have worked on trading floor most of my corporate life so far. I am so used to loud noise, paper planes, ball throwing, swearing etc. that I forget sometimes that loud noise is actually a hinderance at work. People like us consider it a part of work culture even though we may not like it.
My advice: Use headphones. Talk to your manager again about moving. If you do not sit with other team members, may be you can get moved if you continue trying.