Now, if you own a house, you can demand that other people obey you or leave your house. But the state does not own the country; no one does.
By what authority does such ownership exist? Because at some point, we're arguing over which social structures (ownership, government, negative rights) are good or bad, and I don't see much justification to draw the line where you choose to.
Other answers are very much on point, but I want to flag a point others are not focused on.
While I’m currently living with my parents and paying $700 per month in rent, I’ve been thinking seriously about saving more aggressively now that I'm just starting my career.
You should absolutely be doing this, and it should be a focus. I don't think it's a reason not to donate, but this has been discussed several times before.
https://forum.effectivealtruism.org/posts/psvQMXEgQsT5RMDTu/consider-financial-independence-first
And on donating now vs. later,
https://forum.effectivealtruism.org/posts/7uJcBNZhinomKtH9p/giving-now-vs-later-a-summary
I imagine that there would be willingness to do a matching-raised-funds program, where the company pledges to match funds that employees have pledged to charities. For example, someone chooses to do a 10k run for a charity and gets friends and family to pledge to the charity, or chooses to do a birthday fundraiser in lieu of presents. This seems like it would qualify for the bounty, and the framing seems less weird than what you proposed, even though it's essentially identical.