iGPU is fine for driving one large screen or two smaller screens. Else you can get a decent eGPU. (Which you can replace, cheaply, unlike the aging D300/500/700 in the trash can).
I'm only using one monitor HP LP3065c it has 2560 x 1600 resolution.
The Mac Mini should be enough for that.
I also don't play games or edit videos.
Couple of things on a slightly different note.
If I get the Mac Mini:
1. My monitor only has DVI-D input.
Is that ok?
2. The computer I use is on the other side of a regular sheetrock wall behind the monitor.
Can I still use the built in bluetooth (would the signal make it through the wall?) for the keyboard and trackpad, or should I try to find a place in the same room as where the monitor, and my desk, is?
The reason for this is that I need for my computers to be silent because I use them for recording. So I just put them in the next room and run the cables through the wall.