There are quite a few possibilities to pitch the fly sheet without the inner tent. Easiest are of course those tents which are specifically designed for this purpose, and this is what in my experience works flawlessly to keep your stuff dry over weeks in bad weather.
However, as far as I can see the reason that you have to pitch the inner tent first with so many tents is that the poles are attached, e.g., to the corners of the inner tent. So the inner tent can be replaced with a ground sheet, as demonstrated in this video:
Then you can keep the inner tent in a separate drybag until you need it.
Another possibility can be seen in this video (no idea what the man in the video says, my point is only about the attached strings):
The groundsheet is replaced by a set of strings, seems custom-made to me. I have no experience with this possibility, but it seems reasonable to me. [Update: I have realized that using strings to hold the outer in place is a solution used by Hilleberg at least for their Anjan 3 GT tent, so it can be assumed to work well under most circumstances. I hope you can see it in this photo.]
So my take-home message is: Even for tents which are not designed specifically to be pitched without the inner tent, you might be able to make up a simple, but working solution. A recommendation for a certain brand or tent is therefore not strictly necessary.