I have a schwinn delmar cruiser single speed with coaster brake and my rear wheel coaster brake always needed adjusting and would make horrible noises. The cruiser peddal chain is wide and the same size as #415 chain and the same as my engine chain.
I switch out my coaster brake wheel with a multi gear mountain bike rim and put my cruiser tire on it(my cruiser chain fits a gear and has plenty of room between gears but i only use one gear,the one that lines up with my peddal gear). I switched out my front cruiser fork for a mountain bike fork with shocks and caliper brakes built into the forks and the brakes stop on a dime. The rear wheel is quiet and works great.