We are a couple i.e 2 people coming to St. Moritz on 8th June at 7pm. We are travelling by GE. We will leave to Zurich on 9th morning at 9 am. Please suggest us a budget stay, with private shower(mandatory) around 120 CHF. I can travel to nearby places for a budget accommodation as I have a pass for those two days. Also let me know if something can be seen in the little time we have.