Is there a partially homomorphic quantum secure public key cryptosystem with IND-CCA1 security? I recentely asked "IND-CCA1 RSA padding?" about whether there is a IND-CCA1 secure variant of RSA. The original version of the question also allowed usage of ECC which would allow usage of ElGamal, providing IND-CPA and somewhat IND-CCA1.

Now I have the same setting as in the above question, meaning I need a cryptosystem with some homomorphic property and maximal security notion (IND-CCA1 would be optimal, but IND-CPA would also be OK). But this time I'm asking for a post-quantum scheme having a homomorphic property and being IND-CCA1 secure.

So finally the question:
Is there any post-quantum public key encryption algorithm providing IND-CCA1/CPA security and a partial homomorphic property?

Please exclude fully homomorphic encryption schemes from the answers. I know most of them are PQ safe, but they're too slow. And of course please also exclude schemes being even slower than FHE schemes.
Essentially any IND-CPA-secure lattice-based cryptosystem offers additive homomorphism, up to a predetermined number of operations.

I don't know of any IND-CCA1-secure post-quantum candidate that offers any homomorphic property, except Loftus-May-Smart-Vercauteren SAC'11, which is based on a nonstandard "knowledge of error" lattice assumption.