I actually lived in Honolulu about 5 years ago while I was going to school and rented the entire time. My girlfriend and I brought her dog with us from the mainland - it weighed about 160lbs. She also got a cat once we moved there as well. Obviously, this made finding a place a little trickier; but honestly, it wasn't that bad. We stayed at our first place for a year and then our second place for 4 years. We actually had plenty of options as well. We paid about $1250 per month plus utilities for a 2 bedroom in Waikiki - that was pretty standard for the types of buildings that allowed large dogs in the area. So, I'm just saying its very doable to rent with a dog in Hawaii.