This is exactly why I like HDR. Having all the detail on the inside, but still being able to see everything that is on the outside. It takes a little more time in the post-processing, as the very different light conditions create a lot of halos, but I think it's worth the work :)
HDR from three shots, taken with Canon 450D with Sigma 10-20mm lens from a tripod. Photo taken at the Lednice Chateau in Czech Republic.