Check out Rent-o-Meter and Zillow Rent Zestimates in addition to rental ad pricing. And remember, just because it is listed for a certain amount, doesn't mean that it rented for that amount. Also take into consideration the type of property and compare: apt to apt, duplex to duplex, house to house (houses will get more rent than an apt).
In our county, rental rates can vary so much depending on which street you are on, condition of the property, and amenities or utilities included in the rent. This makes it difficult to really get good comparisons.
If the unit is in great condition and in a good area, you could always list a little higher than you had estimated and see what kind of response you get. You can then always offer an incentive, like half off 1st month's rent or lower rental rate for a two year lease instead of one.
You could do an open house and conduct a survey of what they think the rental rate should be.
OR you could price to rent immediately, and most likely get a larger pool of potential renters to choose from.
Here is the Rent-o-meter for your place:
https://www.rentometer.com/results/6iSXEfQqfaw
You'll notice that the average is $1,929, with rents in that area ranging from $847-$3,011