Can you select the Monstrous Mount feat after you qualify at 2nd level or can you only select them using the Ranger style feats? The book is very confusing on this point. I doubt getting a hippogriff beats getting Improved Precise Shot at 10th.
You can select it at 2nd level and it counts as your 1st combat style feat. It is only available as a combat style feat unless you choose to wait until you fulfill the feats prereqs. I think getting an animal companion at lvl 2 and a hippogriff to boot could be better than taking a "normal" combat feat. This of course depends entirely upon your campaign and your play style.