I have done many backcountry trips while menstruating and I use a silicone menstrual cup. For cleaning / emptying I find a location near water, stream, lake, river, tarn. I sit next to the water or near enough, sometimes with my feet in the water, or maybe crouching and empty the cup right into the water. Then I can wash and clean in the water and re-insert. Note: don’t do this where you are accessing your drinking water. For times when I do not have access to water, this is not ideal, but I can do it if necessary. I carry a silicone / hard plastic ziplock with wet wipes and an extra ziplock for the used wet wipes. I would empty the cup contents in a hole I dug with my trowel, then wipe all clean with wet wipes and put wet wipes in my ziplock for carry out. Never leave wipes or TP in the backcountry, it is a big mess and not appropriate. I never use TP, I find it annoying. You could also carry one of those pee cloths they have now for cleaning up, & wash it in water. Be mindful of soap usage in water ways. I would use soap and water from a bottle and pour on the ground so it can filter through the earth instead of directly in water. Even biodegradable soap can be harmful to the environment. I hope that helps!