March is a great month to be in Rishikesh. Holi and Navratri are falling on this month and some yoga schools have planned retreats around them. Here's one you would like to check out. https://www.ekattvayogshala.com/mind-catalogue/yoga-retreats-in-march-rishikesh
There's also a women-only retreat hosted by Ekattva Yogshala. I think you would like that as well. Good luck and welcome to Rishikesh!