I'd say by far the most important thing will stay resistance to unknown classical algorithms, at least until trends change.
That way, you keep the post-quantum crypto out of the kernel, and if done carefully by hashing together PQC, ECDH, and a pre-shared-pre-key to generate the pre-shared key, it would be easier to demonstrate that it's no weaker than WireGuard. If the daemon removes and forgets the negotiated pre-shared-keys after 24 hours, then against classic attackers you'd still have perfect forward secrecy, and against quantum attackers you'd have 24-hour forward secrecy (assuming no statistical flaws in ChaCha20).
Ring-LWE is faster than ECC, but has keys and ciphertexts of 600+B instead of as few as 32 B (for eg curve/ed25519). NTRU is pretty similar, with slower key generation and slightly smaller ciphertexts. If you go to the bleeding edge, you might be able to cut these to 300-400 bytes with severe compromises in eg error rate and security margin. There are also structured code-based systems with fairly similar sizes to the Ring-LWE ones, but they aren't finalists.
McEliece is fast to encrypt and decrypt and has small ciphertexts (as few as 128 bytes), but has enormous public keys (multi-hundred KB) that are also slow to generate. The biggest benefit of McEliece is that we're pretty confident it will hold up to analysis.
SIKE (an alternate) has reasonable keys and ciphertexts (200-250 B) but is pretty slow, on the order of 5ms on a laptop for the smallest parameters. The bleeding-edge CSIDH is much slower, but has even smaller keys, but we can't be at all confident that CSIDH is secure.
On the sig side, Falcon is fast but extremely complicated, and has as low as ~660B sigs. Its main competitor, Dilithium, is modestly slower and larger, and also significantly simpler. The much more conservative SPHINCS+ is very slow and produces ~8kB sigs.
https://cloudsecurityalliance.org/press-releases/2022/03/09/...
Indeed, OpenSSH recently enabled PQC by default (NTRU Prime over X25519) [1]. ECC has, at best, a short-to-medium term lifespan right now.
1. https://www.zdnet.com/article/openssh-now-defaults-to-protec...