I really like the Fastmail calendar because it has months on a giant scroll, so one leads seamlessly into the next. It works quite well for me because I really think on a "weeks" basis but knowing the month is still important.
Month view, yes, has this nice continuity you mentioned. It also has a ... I can't pin exactly what's wrong, but I almost always get confused which month I'm looking at, because the month name label above the calendar seems to often be off by one month relative to what month is visible on the screen. But the bigger issue is, of course, that in a monthly view, you can hardly fit any useful amount of events.