It's very difficult to search the web for synonymous idioms, at least for me. I found Origin of "More X than you can shake a stick at", but I'm really trying to find a similar phrase to it.
We have an overabundance of noun.
The only thing I could think of was "we got stacks on stacks", but that's not appropriate for many situations.
Best Answer
Also, if you wanted to express that you have so much of something that it's causing an issue, you could say:
or
Here's an example of the last expression's use in literature:
Gomm, P. (2014) Chimera