There are a lot of studies showing that working at night shifts can have long term damage which could be irreparable.
I think your type of job, while not a night shift, would probably qualify to be somewhat similar to that.
While I am pretty sure that are a lot of research in the field, especially with people that travel a lot, like pilots and flight attendants, you don't have to read them to see that it's probably not very healthy to travel so much.
It's not just about not being able to maintain consistency at a gym or about eating well. It's also about not being able to see your friends at a weekend because you are more than a week traveling and you "lost" your weekend. It's about being far from family or even worse, wife and kids, and not seeing them grown up or develop a proper relationship with them.
I have an uncle that works in another state and flies every week or 15-days to spend the weekend with family. It is tough. But pay him the bills quite well and has allowed him to provide well for the family.
So I'm not saying you should not accept it, but you should definitely check what are the conditions (short trips, long notice, great daily stipend, good hotels, space between trips, etc etc) and see if they fit you. Otherwise you might regret later on.