On the detail: this is where the anxiety in this hobby is most disproportionate to the actual risk.
Anything shipped in solution is a genuinely different risk, because hydrolysis and deamidation proceed in the aqueous phase and are strongly temperature-dependent.
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.
Arrhenius kinetics predict degradation rates rising with temperature, and the rates for a dry lyophilised peptide at ambient are low enough to make short-term excursions immaterial.
Customs and legal considerations are separate from thermal ones and are the more consequential risk in most jurisdictions.
Ask for a hold during a heatwave. The better suppliers agree without being pushed.