Hi Bill -- What exactly is your budget? There are many lofts for rent downtown depending on how much you are willing to pay.
For the past year I lived in a studio apartment at One North Fifth. It is a modern, trendy apartment complex located in the heart of downtown Tucson. Right across the street from Hotel Congress/Cup Cafe. Walking distance to all of the great downtown restaurants (Maynard's, HUB, Downtown Kitchen & Cocktails, Monkey Burger, The Grill, Shot in the Dark, Xoom Juice, and much much more), Prices vary depending on the floor. I paid $650/mo. for a 3rd floor studio. At the time they were offering a promotion where the monthly rent covered all utilities including cable and internet, and I believe they offer similar promotions fairly regularly. Something you might want to look into!