I've been using the Oracle always free tier for a couple of years now. https://foundryvtt.wiki/en/setup/hosting/always-free-oracle Running your own server does require some technical know-how but the instructions for setting up are very clear and step by step. More on reddit.com

Proxmox with VMs running TrueNas or Unraid & windows More on reddit.com

I use Pterodactyl, a game server manager which runs them in Docker. If there's an egg (container) already out there for the game you want to host, it's quite nice. EDIT: It also has a nice web UI and an account system you can use to give other people access to manage a specific game server, and a scheduling system to run tasks like backups or scheduled reboots. More on reddit.com

My group (8 regulars, 4-5 that float in and out occasionally) play the same types of games. At the moment, I'm hosting 2 Palworld servers and 3 Enshrouded servers on a Beelink SER5 Pro. It has a Ryzen 7 5800H and came with 16GB/500GB, but I upgraded it out of the box to 64GB/2x2TB. I installed Proxmox as the hypervisor and have several VMs running on it. At the moment it has two Windows 2022 servers (one is the game host, the other runs Blue Iris for my cameras), two instances of Home Assistant, and two Windows 11 VMs for dev/testing (only running as needed). I bought a second SER5 Max and mirrored the setup as a backup. The performance on everything has been great, and even with 5-6 of us in Palworld the little box handles it like a champ. I use Amp to manage the game servers, which allows me to spin up new servers easily and in minutes. These mini PCs have been great little workhorses and the cost of each was pretty close to what you're looking to spend (less for the PC as is, a bit more with the upgraded RAM). They go one sale often on Amazon. More on reddit.com