Did you see that Andrew Gelman and others just published Bayesian Workflows? https://avehtari.github.io/Bayesian-Workflow/ It sounds similar to what you're after, away from describing the logic of models and the maths, instead it's about (quote from intro) 'There are all sorts of tacit knowledge in applied statistics that do not make it into published papers and textbooks. The present book is intended to put some of these ideas out in the open'

Where would your book fit into this?