Welcome to hosting, Galyn. First, when you use Smart Pricing, just ignore Airbnb's recommendations and put in your preferred price as your minimum. For you it would be $110. Then put in a much higher maximum or use their recommended maximum. Check your calendar to ensure that the price is never below $110. It shouldn't be. You might find that it is higher at certain times. That's good.
Next, Airbnb support is better after you've become a Super Host, which I know will happen for you as soon as the quarter is over. Once you're a Super Host you can get immediate help by going to Twitter and messaging @AirbnbHelp. I've found them to be incredibly responsive every time I've had an issue.
Once I did have a guest who somehow booked with a lower price. I immediately messaged Airbnb Help and told them, and I also told the guest, sorry, but you got the wrong price. Airbnb adjusted it and the guest accepted it.
Always remember that you're in charge of your pricing and don't listen to their recommendations to lower your prices. It's not necessary. You'll get bookings at whatever price you set. If things get slow you can always offer a discount, as you did above, which will raise your listing in the rankings. Don't tell anyone, but before I offer a discount I raise the listing price LOL.
Hope this helps and that you enjoy hosting on Airbnb!
Ann