So the appraiser "weighted" the $352 by making adjustments for the declining market, or for the amenities, or for the time-back of the higher-priced closings.....They're very strict right now, hopefully, this will pass---it's happening on every transaction---but I suggest IF you have just one better comp to provide him in the $380 range, that you call him to offer it up and reconsider.
The most effective way is to go out and obtain 3 comparable properties that have sold and closed within the past 6 months as close to the subject property as possible. These properties should be similiar in size and style. This will be the best way to prove value.
If the appraiser chooses and uses 3 comparable homes in his report with sold prices of $352,000, $383,000, and $385,000 what would you believe the value of the subject home which is in superior condition to be valued at?