Hello CommodoreRock, and welcome
If you set your Minimig to NTSC chipset emulation, it will display in a standard VESA-compliant 60HZ mode, so it's almost sure your monitor will handle it nicely.
BUT Amiga was big in PAL territories, so you'd better set it to PAL mode. Now this mode will use a 50HZ mode a lot of TVs and LCD monitors will support, but it's not standard so maybe you could be out of luck. I had very bad experiences with 16:9 full-hd tvs in 50HZ...Then again I hate those things and I use 4:3 LCD and CRT for Minimig & Chameleon.
Your best option would be trying before buying, I think.
