Honeymoon locations that aren’t a beach?

Hello, my fiancé and I are getting married in February 2025 and looking at honeymooning in March or the summer. She hasn’t traveled much but I’ve done a lot of US travel and was hoping to travel outside the country for the 3rd time. We have a budget of 3k-5k but can’t seem to get good advice for anywhere truly affordable. Does anyone have any ideas? Looking for either summer or March and we both don’t want the beach.