Thanks for sharing your experience and for doing the 7 week course!
Try to be a bit further away from the wall when you are doing endurance holds with your face towards the wall. Like one or two times the length of your hand away from the wall so that you have slightly more space.
The benefit of facing the wall is that you are more likely to be in a position with good alignment.
With your back towards the wall you are on the other hand more likely to be in a banana position.
Having your front towards the wall also allows you to work on keeping the ribs in, as in this position if you are not keeping your ribs in they will touch the wall and you will know that you need to push more.
So these are the main benefits of having your front against the wall.
I would say though that if you feel like you are holding your handstands in a well aligned position in general it is fine to keep your back against the wall.
Most people will have a preference for one or the other.
Before you get super frustrated with falling all the time I think better keep doing it with your back against the wall.
Hope that helps,
Best wishes and happy practicing,