These are a couple simple scripts to build a fully static curl binary using alpine linux docker containers. Currently it is a featureful build with OpenSSL, libssh2, nghttp2, and zlib, supporting most protocols. Tweak configure options in build.sh if you need something else (and/or suggest or PR).
Grab the latest release from one of these links, by CPU architecture:
Static binaries for windows are provided directly by curl itself.