I would like to lend a resident perspective to this forum. Aways matter. They do make you a "known commodity," which is particularly important if you have red flags in your application that you are trying to live down. Small residency programs in particular often are more concerned about weeding out potential "problem residents" (who often look fantastic on paper) than they are about how brilliant you may or may not be.
That said, most applicants apply to 20-60 programs and interview at 5 - 20 programs, whereas they rotate at 2-4 (including their home program). My experience suggests that most applicants match at a program where they DID NOT do an away rotation. The away is therefore not the most critical part of your application.
I urge you to remember that away rotations are not just an audition for you, but an opportunity to learn about the variety of training options that exist in Orthopaedics. Some programs are large, some small. Some are academic, some private. Some are "malignant" others are "benign." Some are trauma-heavy but swear "if you can do trauma, you can do anything in Ortho." Some are heavy on elective surgery. Some have minimal clinic time. Others have limited operative experience until the senior levels. Some emphasize research, some don't have labs.
Most applicants are advised by their program directors to look at other "good programs" that are very similar to their home program. It is difficult to have a meaningful understanding of the options available to you unless you look at programs that are significantly different from the one where you trained.
My suggestion would be to rotate your suspected first choice program, your home program, and 1-2 programs that you would seriously consider but that are by reputation very different from the other programs where you rotate. I believe this will prove invaluable when the time comes to create a rank list, and it will also give you meaningful experience to draw upon when responding to questions about "what you are looking for in a program" on your interviews.