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We demonstrate the appearance of thermal order by disorder in Isingpyrochlores with staggered antiferromagnetic order frustrated by an appliedmagnetic field. We use a mean-field cluster variational method, alow-temperature expansion and Monte Carlo simulations to characterise theorder-by-disorder transition. By direct evaluation of the density of states wequantitatively show how a symmetry-broken state is selected by thermalexcitations. We discuss the relevance of our results to experiments in $2d$ and$3d$ samples, and evaluate how anomalous finite-size effects could be exploitedto detect this phenomenon experimentally in two-dimensional artificial systems,or in antiferromagnetic all-in--all-out pyrochlores like Nd$_2$Hf$_2$O$_7$ orNd$_2$Zr$_2$O$_7$, for the first time.

Field-tuned order by disorder in Ising frustrated magnets with antiferromagnetic interactions