I know a lot of people don't like the half logs, but with a bigger BP which it appears you have, if you put up some some sort of cover on the two sides and the back of the tank, having them up against the wall as you do she could easily be covered on top and 3 sides if she wanted...

Each BP is different, my friend's will only use his little log ones... It doesn't matter what else we put in for him... If we take the log ones out completely he just sits in the corner and refuses to go in the others.

Try the others and see if he/she prefers them though