https://www.gigabyte.com/Motherboard/B4 ... -rev-10#kfCan't find option 2, this is a PRIME-B365M-A:
https://www.asus.com/Motherboards/PRIME-B365M-A/I would avoid mATX unless you really need the smaller sized box, you know exactly what you are getting and won't need expansion slots (you can predict the future). mATX does not have much for expansion slots. The Asus looks like it just has one, and that will probably be taken by a video card.
If you have the room, I'd tell him you want ATX in a mini-tower that takes full height cards and can hold more hard drives.
I have not rolled my own computer for eons, so I won't comment on motherboard brand. What's reliable changes all the time. Look into mother board reviews and google the MoBo model and keywords like problems, issues, etc. You'll find many issues with any popular motherboard, because there are so many hacks DIYing stuff. So look for repeat problems.
Maybe look into a Workstation (IBM or HP), not a PC. A workstation is more like server grade but made for desktop use. They often lack an integrated video card, but you'll likely want a separate card anyway. Video cards are options when ordering. My IBM has been running 24/7 for probably close to 5 years now.
jon