Probably not the right size/thread but here they are.
Type in “pan head machine screws”
Go to 2nd page, very first item.
https://www.homedepot.com/p/The-Hil...an-Head-Machine-Screws-30-Pack-3290/204794602
No, he doesn't want "pan-head". He said, "no flat top to it". To me that sounds like he wants ROUND-head.
The screw I referenced has a rounded head. I couldn’t get the exact link to work, that’s why I included what to type for the search.
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Edit:
When I did my original search I did type “pan head” but as I scrolled through I found the round head in the pic I posted. The link wording might be a bit misleading.
Link seems to be working properly now too....it brought me to the round head I posted.
That's a very interesting screw...it looks like a combination of pan-head and round-head. It has the sides of a pan-head and the dome of a round-head. But it's not a true round head screw which has the dome going all the way down to the bottom of the head with no sides to it at all.
Yeah, I hadn’t noticed the flatter sides until you pointed it out. Very interesting screw...
I would imagine it would/could still work for the op’s intended application.