Instead you can create multiple Wireguard interfaces and use policy routing / ECMP / BGP / all the layer 3 tricks, that way you can achieve similar things to what vxlan could give you but at layer 3.
There's a performance benefit to doing it this way too, in some testing I found the wireguard interface can be a bottleneck (there's various offload and multiple core support in Linux, but it still has some overhead).
You'd be surprised to know that this is especially popular in cloud! It's just abstracted away (:
Also IME EVPN is mostly deployed/pushed when clueless app developers expect to have arbitrary L2 reachability across any two points in a (cross DC!) fabric [1], or when they want IP addresses that can follow them around the DC or other dumb shit that they just assumed they can do.
[1] "What do you mean I can't just use UDP broadcast as a pub sub in my application? It works in the office, fix your network!" and the like.
Sorry, but that's really reductive and backwards. It's usually pushed by requirements from the lower regions of the stack, operators don't want to let VMs have downtime so they live migrate to other places in the DC. It's not a weird requirement to let those VM's keep the same IP once migrated. I never had a developer ask me for L2 reachability.
Though there are definitely use cases where it is needed, and it is way easier to implement earlier than later.