Not a lot of flavor and very lean, rare is a great suggestion. To me it is really not a meat for, how to put this...I cant find the wording. For my taste it is a great sandwich meat, or sliced fairly thin raw, then long marinade and quick grill and used for Mexican dishes. French Dip, Italian Beef, Cheese steak. I think to appreciate the "tenderness" it needs to be slice so thin. We have used it for Aux. dinners at the Fire House, but it is then served with a very rich brown gravy.
How you get to 125-130* I am not sure is that important. I guess it depends on how you like the exterior of your meat! If it was me, a good char for about 5 minutes a side at 500* and then 350 till it hits about 115*, pull it and rest it!