Developers (two dudes) are super responsive and would likely release an IP customization feature upon request. Is there any service that would tolerate this [D]DOS-y kind of behavior that would feel more privacy friendly than Cloudflare?

IsThereNet [for macOS] watches for internet connection status changes and draws a colored line at the top of the screen to indicate the status.

Edit: Thanks everybody!

(1) ICMP (Internet Control Message Protocol) Echo Requests hardly constitute a burden on a server.
(2) There is little privacy concern simply exposing your IP to Cloudflare.
(3) Uptime-Kuma can be self hosted to accomplish this task with more bells and whistles.
(4) There is an appetite for daydreaming of DDOSing bad Alphabetic actors ;) You civilly digidisobedient rascals!