rustrt: Fix invalid reads caught by valgrind

This is another case of #13246. The RAII lock wasn't being destroyed until after
the allocation was free'd due to destructor scheduling.

Closes #14784
auto merge of #14787 : alexcrichton/rust/issue-14784, r=pcwalton

This is another case of #13246. The RAII lock wasn't being destroyed until after
the allocation was free'd due to destructor scheduling.

Closes #14784