I use HootSuit and love it. I know there are many sites that do schedualed postings, not having used other I can’t give you a comparison, but HootSuit is the one I like, I’m used to it and it’s very user friendly — If anyone else thinks something else is better I’m open to suggestions:)
I do not recommend closing off comments, just because you might not be responding personally, doesn’t mean your fans shouldn’t be able to continue the conversation among themselves. You might get less engagement, but at least the page will still look active.
These are just my opinions, and I hope it helps. Have a great trip!