One thing I have noticed during my trips to Belize is the responsibility for your well being is on you. They TEACH their children not to play with the outlets. They PAY ATTENTION to curbs and walking near the road.
We in the US have become accustomed to having the government look out for us...seatbelt laws, helmet laws, ambulance chasing attorneys, someone is almost always there either to protect us from our own selves or to help us gain $$ from someone who didn't protect us.
If it was truly the hotels fault you broke your leg, you may have a chance. But, if you stepped off the curb, or didn't look where you were going, it's on you..
I agree, I hope litigation for personal injury cases don't make it to Belize.