The $165 pitch is probably genuine. Asheville has supported those numbers seasonally, especially if the property sits anywhere near the River Arts District or downtown. But "by year two" on a rate push in a leisure market usually means they're leaning hard on peak weekends and letting shoulder periods bleed. I've seen that movie: my operator on a 38-key in a comparable Southeast leisure market hit ADR targets on paper for 18 months and then RevPAR collapsed the minute a few new supply announcements hit because they'd burned the value-rate guests and had no fallback occupancy floor. The gap between your $148 and their $165 isn't the problem. It's what occupancy assumption is sitting underneath each number.
The thing I'd want pinned down before signing anything is what their projected occupancy looks like at that $165 ADR in months 4 through 8 specifically, not annualized. Asheville's off-peak is real and it can run 20 points below peak-month occupancy. If your debt service math requires 68% blended and they're modeling 72% to justify the higher rate, you're betting on best-case for seven years straight. Ask them to show you a RevPAR sensitivity table at $148, $155, and $165 each crossed against 62%, 67%, and 72% occupancy and see which cell breaks your coverage ratio. That conversation will tell you more about whether they actually share your risk tolerance than any pitch deck will.