i really hate working with mixers that have no physical faders. You can’t ride a level properly or quickly react. Touchscreens are the worst interface since you have to look at where your fingers are instead of having eyes on where the action is. (same criticism goes for in-car devices without physical buttons.) That’s good only for the set-and-forget type of operations.
There are plenty of those screen controlled “mixers” on the market. Most recent audio interfaces with a mixing engine (Focusrite, Motu, RME,…) will also offer software to do that kind of job.