Dr. Charles kills me
Use the instruments in the room. If there is a reflex hammer strike the patient where you think a reflex might lie. There are no good reflexes of the head, but the rest is fair game. The carotid arteries in the neck generally are not good ones for measuring blood pressure with a cuff, but if you are feeling confident consider going for it. The patient may need to take a deep breath before this risky inflation around the neck.
One other thing, your suggestion about wearing stethoscopes:
The stethoscope is worn around the neck, much as one might wear a scarf. Practice walking up and down the hall before entering the patient room. Learn how to bend and turn without the stethoscope falling off. By this time I will have finished covering the toilet seat with paper towels.