My daughter has really been into stacking building blocks as high as she can lately.
この場合、次のような言い方ができますよ。
ーMy daughter has really been into stacking building blocks as high as she can lately.
「娘は最近積み木をできるだけ高く積むことにハマっている」
to be into ... 「…にハマる」
to stack building blocks「積み木を積む」
as high as one can「できるだけ高く」
ご参考まで!