I recommend you follow the Weight Loss and Base training plan. You can xc ski or do any aerobic activity other than riding in place of the running. The elliptical machine is a great substitute. The point is to do an activity your body is not adapted to and efficient at to get a greater calorie burn.
Power yoga, pilates or strength work can be substituted for Hot yoga. Try to find hot yoga tho as that is the most beneficial.
Lynda