I realize that you're probably past the point of needing recommendation for a beach book (this is the first time i've seen this thread). I do think, though, that you'd enjoy The Sea Road
by Margaret Elphinstone. I personally disagree with her interpretation of the principle saga sources, however, i don't think she does any real violence to history. In fact, she does much better than most writers of historical fiction.
The central character, Gudrid Thorbjarnarsdottir, is a real person, and the description of her life is well attested by saga sources--it's not there that i disagree with Miss Elphinstone, who has carefully used the rather unusual amount of detail available for Gudrid's life. I disagree with her reliance on a sole saga source for the voyage to North America, and, to my mind, the least reliable source. That shouldn't spoil the book for anyone, though.