I have now installed Adobe Reader and am able to view and fill ou the PDF. However, the PDF contains form fields that indicates I cannot save it after I have completed it. Awesome. So, I try to print to PDF after I've completed the form. However, no such option exists--the only printers I see are physical printers. I also cannot "Save to PDF," because, as indicated above, the PDF fields will not save if I save as PDF.
Adobe Reader does not come with a virtual PDF printer, never has.
The issue with the file not being savable is caused by the way it was created. You're probably expected to either submit it digitally immediately, or print out a physical copy and send it by mail. You should complain about it to the authors of the form, but there's nothing else you can do about it.
Print to PDF from Acrobat is no longer available on MacOS since Apple clamped down on PDF Services which can only produce low-end PDF 1.4.
Nothing prevents Acrobat Reader DC from saving a PDF form with its data.If this is not possible it is because there is a script or a function intentionally placed in the document (as indications suggest).