The Language Creation Society (LCS) is a tax-exempt 501(c)3 California-based non-profit corporation dedicated to promoting conlangs and conlanging, including helping support projects of general use to the conlanging community, like this. It is the only organization of its kind.
We could potentially provide official sponsorship (if the community desires it), in the form of e.g. a domain name (perhaps ask.conlang.org ?), advertising (links from conlang.org, mentions in FAQs), hosting, etc.
I leave this open-ended deliberately since I don't know what might be desired, or what the Stack Exchange platform supports, so please feel free to comment with suggestions as to how this could be used.
Disclaimer: I'm the primary founder of the LCS and also Chairman of the Board. I was president until I recently stepped down and David Peterson took over the role. Official support would have to be approved by the Board, but I would advocate in favor and expect a positive repsonse.
Proposal: Planned Languages