We used Avis for many, many years before finally moving to FL. No hassle at all with them. Just went directly to the garage, read our name and space number on the board and got in the car.
Alamo is quite a bit more than budget at this point (about $50 more for the week for a mid-size car) but I have plenty of time to watch I guess. I will keep an eye on it!
Alamo has a self serve kiosk or you can do online check in from home and bring the printed paperwork with you. Then you just walk out to the garage pick a car present ID. CC and paperwork at the exit booth.