To be quite honest, you should not have to flip a coin the first time you use the bed. Just like the first time you use the Rabbit cult and etc..
Hey Chicken. Many people are very concerned about the RNG you mentioned, and saving balance in the game. There is a community patch that was made to address and try to improve these issues, reducing miss chance, and rebalancing some of the mechanics (making it so DEF reduces damage in the formulas, for example).
It also includes a book of unlimited saving for now, while the mod (and the game, in some ways) is in a debugging state.
Here's the link, if you'd like to give it a look. I hope the official game starts to consider these points of balance: https://mask.itch.io/fear-hunger-rebalance