I didn't think it would ever be possible to rinse as I had high output and real issues with keeping my bag connected (hence burnt skin, which is difficult to have appliances stick). For me, confidence was key. I finally found a setup that gave me 2 to 3 days between changes and could even shower minus any setup on my change days. My skin then loved getting a rinse (we have tank water) so I worked a method where I could rinse in the shower with lovely warm water and let the stoma sit in the warm water which helped it relax and move through those larger pieces. Yes, it did gross me out initially but the benefit of a happy, relaxed stoma let me get past it.
I believe it is such a personal decision and what works for one may not work for others. Give yourself a safe, stress-free environment and try a few different methods (be prepared your setup might not like it. It may burst and you might need to change.) Allow a good amount of time and monitor your setup.
I wish you luck with whatever you choose to do.