Well, you can keep it whole. The inside pieces will be more rare than the outer pieces. Use a temp and cook the inside to the rarest temp you are cooking. If the outer pieces are still too rare or medium rare cut them off and finish on the grill or a stovetop grill pan.
With the leftovers you can create one of my favorite salads. Use a nice mix of lettuce (in this instance some iceburg helps hold everything up).
other favorite lettuces
spring onion or slivered red onion
top with "bar-type_ slices (about the size of the wooden Jenka game pieces)
a nice Italian vinaigrette
If you don't like any of the above ingredients just mix in what you do like. It's a really yummy, filling, salad. I'm sure I left a few ingredients out but it's one of those recipes where anything goes (well, almost)