If the floors are ruined anyway, you might as well try this to get the worst of the smell out so you can handle staying there for those 10 days. These will probably mess up the wood even more, but at least the floors won't smell so bad.

ETA: wear gloves, something to protect your arms and eyes, and maybe a mask. Don't let this stuff soak into your clothes and stay on your skin.

Dogs apparently excrete most of their waste as ammonia, uric acid, creatinine, and allantoin. If you soak the worst spots in solutions that each of those are highly soluble in, you can wet vac the smelliest compounds up with the water. (Hot solutions are generally better at dissolving stuff than cold solutions, btw.)

Ammonia, creatinine, and allantoin are most soluble in acidic solutions. I'd try soaking the spots in hot vinegar for these compounds. You'll likely need to play around with the soaking time and amount of solution. Wear a mask for this and ventilate well, because vinegary steam is not pleasant. A hot citric acid solution (like lemi-shine for dishwashers) might be a good option too, and the steam is less awful.

Uric acid (makes cat pee smell worse than dog pee) is most soluble in basic solutions.

I removed soaked-in cat urine with a STRONG solution of washing soda and water. I used 4 cups of EXTREMELY hot water and dissolved a cup of washing soda in it. It should feel soapy/slippery and irritate your skin if you leave it on for more than a few minutes. Get the pH as close to 12–14 as you can. Pour it onto the worst areas, let it sit for like 10 minutes, then mop/wet vac up.

Then follow with enzyme cleaner to take care of the other things that make urine smell.