What you must NOT have, regarding steam lines, is low points that are not drained, or "trapped". With vertical lines, the steam tracing must flow downward. The tubing can be wound around the main line. If you have a horizontal line that requires tracing, you CANNOT wind the steam tracing line around it, or you'll create low points at the bottom every loop. You'll have a tracing system that runs half full of water - with resulting waterhammer - welcome to the world of split tubing and failed steam traps.
The waterhammer issue will be in addition to a steam system that will be running largely full of water. The reduction in available heat to be transferred will be HUGE, as there's no latent heat with a hot water system. I would suggest that the hot water vs steam issue was your problem, not the tubing material. If you've calculated the required surface area based on steam, and are now showing it hot water - you're going to be disappointed.
I should mention I used to work extensively with a manufacturer of stainless steel HXs for several years. In the real world, there's essentially practical difference between metals as far as heat transfer is concerned. The big considerations are 1/ delta-T, and 2/ surface area.
"Hook-Ups" by Spirax Sarco is an excellent reference. For those less familiar with steam, there's a more basic publication - also from Spirax Sarco - called "Steam Utilization".
In over 30 years, I have installed, operated & maintained literally hundreds of steam systems, including ones for tracing (carbon steel, copper, and SS). They were (and continue to be) cost effective to install, operate, and maintain.