Pure carrot juice should be fine. Boiled soft carrots are a staple for me.
Here is a link to a web site with some good information about excess fructose foods. The table at the bottom of the page has a list of foods that are (1) safe, (2) try in moderation and (3) avoid. Note that is says sweet potatoes and carrots are are fine in moderation.
I hope it helps
-------------------- STABLE: ♂, IBS-D 50+ years - Science of IBS