@David-and-Annie0Do not lower your price for any day to less than you are willing to book for!
It sounds as though other properties that you're looking at have been set up to use smart pricing (an option under "listing", which allows a price to "float" depending on demand), or have entered different prices manually depending on their own needs. Airbnb will pretty much always display a listing's lowest price point (let's not get into the ethics of that), so if a host has set up smart pricing, with their lowest base price at $165, then that is the price it will appear as when searching without any dates entered.
When I look at your listing, (without dates) the price appears as $296 (CAD, which makes sense if your lowest price is 225 USD). If I enter the dates as Nov.18 - 20/ the price becomes 378/night (plus cleaning and service fees). If I searched Big Bear Lake using the dates as a filter, your place would show on the map as 1113 (the end total)
If you (or a guest) enters dates in the filtered search, then the true price will show for each listing (i.e. the $385 you mention).
Hope this helps - happy hosting!