This is the most direct, safe route from Wassaic to Southeast with all the intermediate stations listed on the map.
As trains run every other hour on this rail line you should assess whether to wait for the next train or cycle on to Southeast, or a station along the way. Sometimes Metro North will stop trains for service on this line and offer shuttle bus service, which might not be suitable for you to load your bike in the under-bay of the bus. This offers an alternative.
Note that this route is hilly.