Is there any other method that can be used to examine the prostate other that entering via the anus?

Yes, but... Entering anus with finger or ultrasound probe is indeed a "horrific" experience to many, but not that bad after counseling for realistic understanding and expectation. Other than via anus, CT or MRI could be used but with high cost if no clinical indication. Besides, blood testing for PSA could be used if indicated. More on Prostate...? To Best to health.