Post date vs. event date in Wordpress

Question

If I'm creating a WordPress site, what should I do when I have a blog that manages events to keep date events? For instance, in my own case, I'm making a travel blog where some histories have a real date (when I visit some place), but are published in a later date (when I'm at home). I'd like to show the real date but if I set this real date as the post date, the post order is a chaos (I have events that are directly hidden and never showed in the home page, because the date is not among the latest 10 posts).

What should I do? Is there any plugin to help with that? Or maybe I can change my theme listing the posts in a different manner, but how?