I know the Succinylcholine preloads that we carried at my last service were certified to be effective for 45 days without refrigeration. And Rocuronium can go 60 days without refrigeration.
However, the only RSI paralytic that can live in your gear "fridge free" is Vecuronium.
The official word is as follows:
ZEMURON (rocuronium bromide injection) should be stored in a refrigerator, 2:censored::censored::censored:8211;8°C (36:censored::censored::censored:8211;46°F). DO NOT FREEZE. Upon removal from refrigeration to room temperature storage conditions (25°C/77°F), use ZEMURON (rocuronium bromide injection) within 60 days.
Succinylcholine: Store in refrigerator at 2° to 8°C (36° to 46°F). The multi-dose vials are stable for up to 14 days at room temperature without significant loss of potency.