The forecast for next week is not for "warm weather".
OTOH, route-wise, for a non-local, the most-often recommended route is along the levee(aka the Mississippi River Trail). Take a look at googlemaps, find a route for yourself from your hotel to the Audubon Park area on St. Charles Ave, turn left/away from the bell tower at Tulane University and go down to the river (or continue along St. Charles Ave for about 3/4 mile to just past Carrolton Ave and the levee is there. Go up the levee and turn right -- 20-30 miles of unrestricted bike path.