Honeymoon in the beginning of October

Hey guys! Me and my fiancé are trying to come up with a good place to travel for our honeymoon in the beginning of October. We both love to hike so mountains are a must. We ideally would be near somewhere with things to do but also would like to just relax a bit. We’re pretty open to any place or idea. We both have our passports and are open to places within the US or international. We would be flying out of STL and would like to spend around $3500 for 6 or 7 nights.

Thanks in advance!