You should be fine. I flew out on a Thursday in late March and from the time I dropped my car, they then dropped me at the airport, it was less than 30 minutes until I was at the gate. I had a checked bag and asked for assistance with all the automated stuff and spoke with Aiesha for a minute and then headed upstairs for the rest of security. Security took the most time as some of the automated passport readers were not working properly. The gate/ground services (I believe it is Signature Aviation) Delta uses seemed to be very well trained and efficient.