I'm very glad I found this post about your efforts with WeeWx because I was just about to go down that rabit hole with my system. I have WeeWx running with a DIY weather station and I'm currently uploading to PWSweather and Wunderground. However, with the climate module being discontinued, I am looking for alternatives. I was going to have WeeWx output JSON via the method I found here: https://hoke.org/john/2018/05/using-weewx-for-home-automation/ and try to write a node server to parse it, but it seems like you gentlemen found a solution that works. I will see if I can follow your progress posts and replicate what you have done on my system.
Thanks!
Steve