Move regions to different tracks without changing timing

Hi Soundtrap friends! Long time no see. I've been doing a lot of editing recently for my school's spring musical, and realized an issue that has happened once in a while for quite some time - regions falling out of sync when dragging them around.

The problem: If I want to move a region with an off-beat starting point from a track to another track, it falls out of sync by a tiny bit, unless you have a surgeon's hands with your trackpad/mouse. When the grid is on, it just snaps to start on the downbeat, which inevitably leads to another minute or two of the sync game (play, move a tiny bit, play, move a tiny bit...) - Every once in a while this is not so bad, but I've had to do it a lot recently through editing a bunch of different projects. 

In other DAWs, when moving a region to another track, usually it 1. gives you a little dialogue pop-up to show you how far you've moved it or 2. snaps to stay in the same position until you move it a certain amount, or  3. has a key you can press (ctl on some, shift on others) that keeps it timed exactly as it was. Any of these would be super helpful.

As for having the grid on, a single click and drag snaps the start of the region to somewhere on the grid, and when zoomed out this can cause a random multi-measure jump. This assumes that any recording that starts off the grid should be adjusted timing wise, which I find is not the case 80% of the time while editing out mic bumps, paper rustle, and weird noises right before kids start to sing. To me, it would be way more useful if I could move that region exactly 1 measure, or 4 measures, without having to re-sync that audio from scratch. 

Appreciate you, Soundtrap people!