In a tumor, why hypoxic regions have access to glucose?
I think this is a difficult question for which the answer is not clear --- to my knowledge there is little data on metabolism in solid tumors, and no clear consensus in the scientific community. So I'm not going to attempt to give a definitive answer, but here's at least a few thoughts / opinions.

Why transformed cells engage in aerobic glycolysis, or the "Warburg effect", is a question people have been trying to answer for nearly a hundred years now. There are dozens of hypotheses, but none of them is broadly accepted. One popular hypothesis laid out by Gilles &amp; Gatenby says that transformed cells from solid tumors are glycolytic because they have been selected for anaerobic metabolism in a hypoxic environment, and this selection is somehow irreversible, so that the cells stay glycolytic even after being extracted from the tumor and cultured in aerobic conditions. I think this hypothesis is the origin of the idea of hypoxic and yet glycolytic tumors.

In a way the Gilles &amp; Gatenby hypothesis is a clever idea --- it rests on the well-accepted fact that most cells become glycolytic in hypoxia, and rhymes with the concept of selection for survival in tumors. But the problem with the argument (as you have realized) is that the tumor environment would have to be low in oxygen and at the same time high in glucose. I agree with you that it is unlikely that such an environment could arise due to lack of blood supply, since oxygen diffuses more easily through tissues (and cells) than glucose does. Moreover, considering the high demand for glucose by glycolytic cells, glucose should become limiting long before oxygen runs out. So one can argue that poorly vascularized tumors should be mainly oxidative, not glycolytic!

To my knowledge, there is no data demonstrating existence of (regions of) solid tumors with low oxygen and high glucose. There is of course ample evidence that many solid tumors consume large amounts of glucose, and also many studies showing hypoxic regions in tumors. But most likely these are different types of tumors, or different regions. In an environment with neither oxygen nor glucose, cells will simply die --- which is exactly what happens in the necrotic cores of larger solid tumors.

The best source of further information is probably the tumor physiology literature. This review is a good starting point. 

Finally, another issue with Gilles &amp; Gatenby's hypothesis is that aerobic glycolysis can easily be demonstrated in cells that have never been in a tumor. For example, in vitro transformation can increase glycolysis, and normal lymphocytes induce rapid glycolysis when activated by receptor stimulation. So there is no need to assume that glycolytic tumors are hypoxic.