Yes, it will drop. It'll drop to 0 for sure. If you can, add the stabilizer tonight. That will help. Also add bleach. If you add stabilizer to 20ppm, then add enough bleach for target which is 5ppm (I'd actually suggest 1-3ppm more in your case with the fill water going in), hopefully it won't drop to 0 tomorrow but maybe end up closer to your minimum. 0ppm in the sun ain't good. 0ppm ever ain't good. You do not want to fall below minimum, at the very least.
With what you're describing as a green tint... I'm afraid even that won't handle the bloom. BUT... it should be less of a bloom once you're full if you do this. If you let it go to 0, your SLAM will take longer.
I'm going to go out on a limb and say that even if you don't add the stabilizer tonight, that you can safely add bleach to reach 10ppm tonight. That is the SLAM level for 20ppm CYA and 0ppm CYA. Whatever you can do to reduce the algae bloom, even a little will help. It will surely all disappear tomorrow if you don't add stabilizer, but it might help a little.
Oh, and you can probably secure the hose to the pool with some duct tape or a zip tie, etc. so the dogs don't knock it out.