It is your call. I would suggest you to go to your interest. Both the fields are emerging as an important sector. You can have your career choices in Hospitality or Travel and Tourism.
Check the list of colleges from below:
It totally depends on you both are the decent programme & have the scope in its own field.
MBA in Hospital Management you will learn the principles of management, efficient business handling as well as the nuances of what goes into the administration of healthcare facilities all around the world. You will have the opportunity to become a management professional of the highest ethical standards and help patients all around the world get timely and efficient access to treatment. It is one of the most promising course and there is a lot of scope for growth and learning opportunities.
The scope of MBA in travel & Tourism is also good and vast. There are multiple players involved and the one which becomes dominant, leads further. The Opportunities include in a Travel Agencies, Hotels, Airlines, Transport and Cargo companies etc. So there is a great scope for professionally qualified persons and in the public sector opportunities are in the government tourism departments also.