Which recommended monitor did you try that did not work out? Which Mac mini are you using?
I opted for an LG 32" 32UL500 for my monitor. The screen real estate from being able to run in full 3840x2160 resolution is what pushed me to a 32" 4k monitor. It plays nice with my M1 mini via HDMI and DisplayPort, although I prefer to connect with DisplayPort, as it offers more scaled resolutions and Apple's implementation of HDMI can be a bit fussy at times.
I'll echo that a 27" 4k display is going to be best for keeping text sharp. My recommendation is to find a model that looks interesting and check rtings.com for reviews. They'll have some comments about how the monitor behaves with Macs and provide setup instructions for a great picture (won't be perfectly calibrated, but you don't need it to be for your use). LG's supplied cables work just fine. If you choose to use DisplayPort, you will need a usb c to DisplayPort adapter. Avoid using a preset modes, such as gaming modes, that favor sharpness. I wouldn't hesitate to recommend one of LG's 27" models, but I don't have first hand experience with any of them.
You shouldn't need to spend much more than $300-$400 for a monitor with a good display panel for your needs. Spending more gets you more adjustment on the stand, more inputs/ports on the back, and/or a bit nicer display panel (more beneficial if you were concerned with color accuracy). This leaves room in the budget to buy a nice vesa arm if you want more adjustability. It's one of those things that you didn't know you want/need until you have it.