Might be worth signing up for a frequent flyer number if that is the only way to view it, shouldn't take long and will be required with any of the SW credit cards. If you go to the main site where you type in your origin and destination there is a radio button to select Points instead of Dollars that shows up for me without logging in. See if that is avaiable for you.
All of my trips out of Louisville have been under 40k, 5 so far on points only. I'm flying from Louisville, KY to California roundtrip this week and it will be 30k miles. I'm going from Louisville to Seattle next month for 36k. One of the great things about booking with points on SW is they are refundable so if the price (in points) drops you simply log in and it will refund you the difference in miles. I try to check once a week and the prices go down more than you would expect. That is for flights where I am flying on Mondays and/or Fridays and booked a couple months out. I checked August and you could absolutely fly from NY to LA roundtrip for 40k.
