Accepted answer
Tracking that updates at every hop is a better supplier signal than the transit time itself.
Asking a supplier to hold a shipment during a heatwave is a reasonable request that the better ones honour, and it costs a week rather than an order.
Concretely, reported ranges from Chinese origins to western Europe cluster around nine to fourteen days with tracking, with inland origins adding a domestic leg and coastal ones sometimes beating the range.
Solid-state stability of lyophilised peptides at ambient is well documented in formulation studies, with residual moisture as the dominant variable.
Nothing here is medical advice, and research-use compounds are not approved for human use.
Buy a data logger if the temperature history genuinely matters to you.