Dear Dogdevoteealways
Your tourist visa will give you 3 months. You can either cross the border into Costa Rica to extend this or check at the Immigration office to see if you can extend with them (making a payment to cover the additional days).
Granada rentals vary a great deal from around 300 per month right up to over 2000 for a large scale colonial property.  Most properties prepared for the expat visitor are larger so you may find yourself paying for more space than you need.