Sorry to hear of your injuries, I hope you heal fast.
There is a lesson to be learned from your crash, and it's not that you need a different type of bike. It's that you need to pay attention to what you are doing. Its like if you crashed your car because you ran out of gas and then decided that meant that you need an airplane. By blaming the type of bike and "luck" you're avoiding addressing the actual problem. Replay the time right before the accident in your head and think about what you could have done to recognize a hazardous situation, and then what you could have done to make it less hazardous.
The answer to that may be "don't ride bike paths". They're often quite unsafe due to unpredictable pedestrians who are not paying attention to their surroundings. While the roads are safer than they appear to the uninitiated, in part because larger vehicles change direction more slowly.