Personally, I would "age" any type of animal manure before using it on indoor plants. I think there are plenty of options you can use as mulch in the time being. Plus, once you compost this first batch you should be good to go with plenty built up behind it right? Also, this would probably help speed up the composting process of some shredded up browns from the yard as well, further adding to the nutrient/microbial profile of the finished product.
Just my two cents and by no means an expert, just how I would approach it.