But one can have a charge without flow, as in static electricity, so that doesn't answer the question of what is the direction of current flow and what is actually flowing in a DC circuit wired to a voltage source.
I don't get your point. One can have water without it flowing.
What is actually flowing in a DC circuit depends. Through a wire, electrons. Through a battery (parts of it), the majority charge carriers are positively charged ions. Negatively charged electrons are pulled to the more positively charged parts of the circuit (battery, generator, etc) and if positively charged ions are flowing, they move towards the more negatively charged parts.
Holes are just fictions, models created to aid in approximating semiconductor behavior. Within those limitations, you treat a hole as if it were a positively charged particle.
So do you agree that holes are not real, but rather just a means to explain how solid-state material supports current flow?
I've never said any different. It isn't a means to explain how solid state material supports current flow, after all, copper is a solid. It is a means to more easily model semiconductor action. So we say that electrons obliterate holes, we act as if holes were virtual positively charged particles, sort of anti-electrons. But it is just a model.
Heck , the so-called free electrons are not really free. N-type is not really negatively charged, those are not really excess electrons.
It is all an aid in understanding. Approximations. Like having an approximation of a diode being just a one-way valve, or the approximation that a diode drops 0.7V.
I don't know of any credible physicists or EEs who claim that holes are real, or who claim that "conventional current" is really holes flowing. I've known a few ignorant instructors who've said some stupid things. Heck, you should see my review of Sams "CET Study Guide 4th Edition", that's my review at the top:
http://www.amazon.com/CET-Study-Guide-Joseph-Risse/product-reviews/0070529337/ref=dp_top_cm_cr_acr_txt?ie=UTF8&showViewpoints=1 Or my review of "RESIDENTIAL CONSTRUCTION ACADEMY: ELECTRICAL PRINCIPLES", a popular textbook on electricity for electricians. The author has written -loads- of highly regarded texbooks, yet everyone I've been able to see a preview of has the same horrible, basic mistakes.
http://www.amazon.com/RESIDENTIAL-CONSTRUCTION-ACADEMY-ELECTRICAL-PRINCIPLES/product-reviews/B00B7BCA5O/ref=dp_top_cm_cr_acr_txt?showViewpoints=1So there is a lot of bad information out there. And at least a few ignorant but well-placed people writing books.