I booked my FP+ a couple of weeks ago for my upcoming trip. I booked at 9 am 30 days out. I was able to book 7DMT, A&E, and STWB. When I first made the selections, it gave me very late times. I accepted them, then was able to change to the times that I wanted. My latest one is 7DMT at 2:40 pm. A&E is for 9:05 am. I was very happy with what I got for the one day (July 11) that we will be in MK.Really? What do you define as "no trouble"? The reason I ask is that I am staying on site and trying to find a 7DMT for Aug 4th anytime before 5pm and can't. I know I'll be on the DME around 5:30 and so can't get one earlier in the day.
I think that the system is set up to give you later times for popular attractions. However, the process to edit the times was fairly easy to use and gave me much more desirable times. Good luck.