GeneralJist said:
I'm seeking places online to host our demo that would satisfy the trademark “statement of use” requirements. We are far from a final product, but…
Double-check with your lawyer, because the thing you described usually doesn't count as actual use. Pre-sale orders and “not yet available” previews don't qualify as actual use, the goods must have actually been sold and transported to customers. Your mark must be actively engaged in commerce in order to qualify as actual use.
You are probably better off filing an “intent to use” application. It is a little more costly overall but can help if your actual use date is in the future and you fear someone may jump on the name.
That said, there is no obligation that your actual use go through a game publisher. If you're actually using the marks on your own web site in commerce (not just for marketing announcements, development blogs, or similar) that can work. Just be sure it is an actual use of the mark in commerce.