Possibly broken scaphoid while skiing...splint or cast?

[Me]

I was skiing when I fell after overseeing a bump on the snow. I fell forwards and stuck my hands in front of me to break the fall but actually fell more on my left hand and had my wrist bend back more than normal. After this, I felt a great deal of pain on my whole wrist and mostly on the thumb side and at the base of it. I also felt considerable pain when moving my wrist and thumb, other than this I had no other symptoms like swelling or bruising. I ended up skiing down the mountain(still in pain) and then got it checked out. After getting it seen, the doctor said that the symptoms sounded like them from a scaphoid fracture but the x-rays didn't show a fracture. However, he said that many times, scaphoid fractures dont appear on the initial x-rays. Because of this, he put me in a splint on the meantime before getting a second set of x-rays. My question is, do you think its a broken scaphoid or just a sprained wrist? I was also wondering if I should get treatment in a cast instead of a splint even if the fracture isn't confirmed as well as healing time? I am a 16 year old male. Thank you for your time.