While Mike is correct... c'mon. How would they ever know? This is a gray area that no algorithm in the world will ever identify.
In the state of Washington it is against the law for bars to give out free drinks no matter what. I was in a band for 10 years and we played at dozens of bars/venues big and small in the area. Guess what? Each and every one of them gave us free drink tickets. This is a law that is punishable by jail time. Much more serious implications than what Google is threatening you with.
What's my point? I don't know. Bending the rules can work sometimes I s'pose.
If I were writing these letters I would be polite, cordial, concise, and honest. Simple as that. Mention how it will be beneficial for both parties for a reason beyond a free night. Maybe don't offer a free night but a free dinner and breakfast instead.. More of a promo-package exclusively for reviewers if you're worried about Google's Guidelines.
--my thoughts