I’m a big fan of the Zoom multi fx, and have the B3n, G3n. Cheap and simple. I also have a line 6 pod hd500x. All these old tech devices work fine and are super cheap these days. I paid $80 for the Zoom G3n, and it was mint.
Sure, I have to build patches, and that can be done on the device or via usb. Once the patch is built, I can disconnect and get away from the screens.
Usually, if I want to practice, I just put on the headphones and go. The gear is all out on the end table, guitar or bass plugged in and sitting on a stand. ( no kids, or young animals running around the house at the moment).
I might plug in my phone or pad for playback or a lesson or practice material. Simple and quick. Just don’t wander off into YouTube or open a browser.
At those times, I’m not going to let myself get into sound chasing. I keep the blinders on and just work on the playing.
There’s other time for the computer hook up tweaking and exploring. So far, things like firmware updates have been few and far between.
I found the line 6 eco system to be too much computer stuff. I use the pod, and it sounds great, but rarely open the editor and spend time tweaking.
All the stand alone pedals have come and gone. A hassle of patch cables, power supplies, and various issues.
Most of my patches have an amp model, and a few effects, plus a slot for the drum machine and a looper. The Zoom has a much friendlier looper than the line 6. I’ll build related patches in adjacent slots, so I can expand the flavors.
I’ve played with garage band and the IK media stuff, but being in front of a screen and messing with the computer just kills it for me.
Seems like your vision is in quadcortex land but the budget is not. The $350 budget would buy some really nice headphones, and a used multi fx. And even landing a quad cortex might just create more option paralysis.