What product are you using?
A trick I use is that I nail a 2x4 to the ground on top of the first row. That way it cannot move as your are adding rows. Shifting around your first few rows is a really good way to mess up the whole room. So I just nail the 2x4 on top of the first row on the edge where the trim will cover, so that you are not nailing through your brand new floor, only nailing or screwing into the subfloor. Then when you have a few hundred pounds of flooring down remove your braces and the floor is good to go.
Honestly I am not understanding your problem, I've put down LVT on some pretty uneven floors, and have found it pretty forgiving. Try to phone a friend with some experience? My guess is you are doing something wrong somewhere in the process.
Also don't forget to undercut your doors!
As linked in the first post, CALI lvp - in retrospect, it looks like they are known for bamboo, so this might be a relatively new foray into vinyl.
Sure, I could be doing some wildly crazy things wrong, but... I mean this also is not rocket science ;) As I just said, if you take two 8" samples, they LOCK together. (They also lay
flat which would be nice if the full planks did the same...). If you slide the long edge (completely, snugly) together at ~15 degrees and lower it, it's pretty much a solid connection that you cannot slide, assuming they are good pieces. But most of the time once you "lock" it you have no reason to try to slide it; that was just some testing I did. So to go a row or two over and when you lower a piece to lock, and another piece a row back pops up... you have to scratch your head. How did it go from being "locked" to being "unlocked." It should be impossible. Unless the locking mechanism is physically insufficient... to handle the way the edges want to come up rather than lay flat.
Given our frustrations on basically attempt 2.5-3 or so, we screwed the first row to the ground to get everything else started, while using a long straight edge to ensure that first row was all evenly together. It wasn't that the floor was sliding (though that would be a problem, too), it was that when you have the pieces in the "lock" mode, they don't really want to be
flat. They want opposing edges to raise off the ground. Even if you have a billion pounds of flooring down, the
edges would still come up off the ground when you remove screws or 2x4s. That just seems... problematic. While this product doesn't have a lot of reviews, there are a few on Lowes, and comments on the CALI youtube video for "how to" that have a similar issue of edges not lying flat.
We haven't gotten to doors, except the sliding glass doors, and there I did use the oscillating tool to undercut the (vertical) trim.
The project is on hold, whereas the poorly laid floor is hidden under the giant carpet we got to aid our dog in having traction. We were initially sad to hide what we hoped to be a beautiful floor, but for now, we're happy to hide how it looks awful. The hallway is in the ripped up and covered with rugs phase. We'll see when motivation returns, given our level of frustration thus far.