Can I display the selected products on the order confirmation email?

Yes, you can customize the order template in Settings => Notifications => Edit Code. Search for the line with
line.variant.title != 'Default Title'

There is a line {% endif %} 2 lines below. Press enter to start a new line. Copy and paste below:

	          {% if line.product.vendor == 'BYOB' %}   
	            {% unless line.properties == empty %}
	              {% for property in line.properties %}
	                {{ property.first }}: {{ property.last }}<br/>
	              {% endfor %}
	            {% endunless %}
	          {% endif %}

The result:

The order summary on email: