I tried to get tickets the minute they went onsale in DC and had a similar experience. My virtual number did not come up to purchase tickets until 3 a.m. and at that point only the uber premium seats were available and I could not afford those seats.
Check to see if standing room seats are available in your town. While we'd all rather have a seat, if it's a choice between not seeing the show and standing, I'll stand!
My friend and I took the metro down to the Kennedy Center on a rainy, middle of the week day to try for standing room. I found out they would sell 18 to 20 sro spots same day if the show was sold out, which you can check online. Each person could buy 1 or 2 tickets for $50 each. We arrived at 3 pm and were 10th and 11th in line when the box office opened at 5:30 pm.
The sightline was clear and there was a low wall to lean on, so it was not a bad way to see the show...especially considering the person who was seated about a foot in front of me in the last row of the orchestra paid almost $400 more than me for the same view.
If SRO is available, go early, go midweek when people are working, on a not too pleasant day, to get in line. I had played the lottery every day til that point with no luck, but SRO got me in the room where it happens.