This is really one of the classic problems in photography. Fill flash or lighting (e.g., reflectors, etc.) are ideal for situations where they can be used, but often the sheer size or distance of an architectural or landscape shot makes these impossible, even after one waits for the right light.
With transparency film, there is no latitude; you simply have to decide on a compromise: favor the shadows, the highlights or split the difference somehow.
With negative films and print controls there are a lot more possibilities, especially with black-and-white. We can alter development (tailoring our negative using the Zone System, BZTS, etc.), dodge and burn, use split-printing techniques, flash paper, mask, bleach, SLIMT, etc., etc. If you think about it, dealing with this kind of situation is precisely why all these controls and manipulations were developed, and why we need to master them. Important here, however, is that the exposure is adequate to render desired detail in the shadow area. If you underexpose (which is all too easy in contrasty situations and an averaging meter), there's no way to get lost shadow values back.
Unfortunately, blindly "exposing for the shadows and developing for the highlights" in cases like these (say a dark interior with a sunlit landscape outside a large window, or a dark forest with dappled sunlight), often results in a flat, muddy, contrastless failure. We tend to want detail and contrast in both the shaded an lit areas. I'll often intentionally make a too-contrasty negative knowing in advance that it's going to be a bear to print, but also knowing that if I developed so that the contrast range of the negative fit the paper, I'd end up with a dull print. Using a carefully-considered development that will give you minimum contrast to make the best print really helps here. Example: I have a contrasty scene that classic Zone System would say needs N-3 or N-4. But I really want lots of separation and contrast in the shadows and I know I'll kill that if I use such a radical contraction. So, I'll develop N-1 or N-2, depending on the subject, and then deal with the extra contrast in the darkroom, not by using a lower-contrast paper or filter setting to get the negative contrast range to fit the paper, but by using other manipulations.
My favorite tools to deal with these kinds of negatives are: dodging and burning (often using different contrast settings, i.e., split-contrast techniques), flashing paper (very rewarding at times!), bleaching up highlights, unsharp masking and, sometimes, SLIMTs for the print (I use SLIMTs for reducing negative contrast too, but that's a substitute for N- developments; SLIMTs for prints changes the contrast curve of the paper and can be great for certain subjects). If the subject allows, I'll sometimes use selective intensification of areas of the negative. This only works if you can really avoid a "halo" around the area being intensified and if you mess up, the negative is ruined (I'll shoot a back up if I think I might be doing this).
The negative the OP describes will likely be difficult to print and there's no magic bullet in the analog world. Maybe Photoshop would present more possibilities. Bottom line: fix the lighting or wait for better light if possible. If not, don't just make a soft negative; consider whether this will really get you the results you desire. If you need to make a contrasty neg, be prepared to deal with it with print manipulations. Or, recognize that the scene you are looking at just won't make a good photograph and move on to something else; sometimes discretion is the better part of valor
Best,
Doremus