Following up on my eclipse fantasy, I checked my desktop planetarium and selected 25 degrees north, 142 degrees east for my viewing location. The totally eclipsed sun will be just under 85 degrees altitude. A view from the center of a 2 mile wide eye with a perfectly vertical eyewall 10 miles high would show (very dark) blue sky above 84 degrees, so the sun and corona would be just above the top edge of the eyewall. However, there are several planets (Saturn, Mercury, Venus) and first magnitude stars (Regulus, Gemini twins, Sirius, Betelguese, etc.) scattered about, so a wider eye would be all right.
So let's say a miracle happens and a supertyphoon does pass over the right spot at the right time. How do we get there? Perhaps National Geographic can rent a slightly used nuclear sub to dive deep below the storm-churned surface waters and pop up in the eye -- preferably before it goes super and tightens up. The crew then films the spectacle with an IMAX camera while Tim Samaras releases "sea turtles" to sample eyewall conditions. Hey, I can dream, can't I?