I feel when trying to process grief and harder emotions emotionally shutting down is very common, which makes writing harder. There's nothing wrong with the current way you've been doing it. Art therapy could also be used as an alternative to allow non verbal expression. You don't have to be an artist, it could be drawing, painting or even just collaging.
There's a few channels on Youtube which help you get started.
I use a one line a day Journal from Amazon. I haven't written in my old journal for months, as I just can't write anymore even if i carry it around with me. The one line was easier to maintain, because it demanded a lot less- just one sentence with the option to write more if you wanted to.