Hi James,
30 minutes, wow!
You'll have to let us know what you are doing in HDR, along with maybe your system specs. Oh and the size of the file you are working on.
As Jochen stated, you might be increasing the context size when that really isn't necessary in new HDR. In fact, decreasing may be a better option - both as to the time needed to process as well as the detail you want to reveal.
If you are really oversampled, bin down to something more reasonable. Absent cropping situations, I almost always bin at least 50% from my APS-C files (more or less 6000x4000) and process in the general range of 2000-3000 wide. But different targets and the sampling of your rig may require different strategies.
Quality can probably be left on low or medium, the improvements are still quite good. The most recent ST release actually starts me out at low now as the default, based on my CPU's 4 cores and 8 threads (even though it's a quite decently fast i7, GHz-wise). For a while I was immediately changing it up to medium, but typically now I don't bother.
As far as a preview box, gosh I don't think I have used one of those since 1.6, and kind of gave that up with the advent of GPU-accelerated ST. In fact I forgot it was even there. Some may still need that though, so really I think just keep your pointer away from the image! I can't think of when I have a need to click on anything in there anymore...except SVD blue boxes and mask making...but those don't trigger previews.
If you have some spare time and want to read through a previous discussion full of questions, analysis, experiments, and various handy factoids regarding new HDR, you can try this thread here (only 4 pages, not too bad):
viewtopic.php?f=4&t=2357