You cannot generate a grammatical solution to this puzzle for reasons elaborated in linguist Geoffery Pullum’s 2014 paper Fear and Loathing of the English Passive published in Language and Communication. Specifically, your suggestion violates the rule that Pullum provides in Information-structure constraints on passives under section 2.4.2:
The denotation of the by-phrase NP in a passive clause must denote something at least as new in the discourse as the subject.
That’s because the proffered reformulation (with missing by me added) is ungrammatical in English:
*Chinese was being tried to be studied by me, ...
The reason that that is ungrammatical is because the subject Chinese cannot be used because it is newer in the discourse than the passive complement by me. Pullum writes:
This information-packaging constraint is a real, important, and fully general part of the way long passives work.
I recommend reading the whole paper, but if you prefer something like a shorter, Cliff Notes version of that paper, you can read a 2011 précis of his related work.