some advice on how to handle a character that is always sleeping in battle?

so for some context, my upcoming character (post reroll) is actually two characters, they're a cursed god split into two and whenever one goes to sleep, the other wakes up, and vice versa. they are very protective of each other, and both are too paranoid to leave the other sleeping at camp at any given point in case they get raided, robbed or captured, or something else similar, so they carry each other around everywhere they go. my dm suggested telepathy and memory sharing for no spell slots between them, so they can still communicate and perceive the world around them, but one is still asleep. if they are awake at the same time then it's very exhausting, so it cant be maintained for long and will probably only be used in times of very real danger. one is a tiefling cleric wizard multiclass (currently cleric level 3 and wizard level 1) and the other is a paladin warlock multiclass (paladin level 3 and warlock level 1).

what im worried about is the mechanics of hitting a sleeping person. if i remember correctly, hits against sleeping creatures is a guaranteed critical every time, similarly to hold person. i have all of the other kinks worked out, but i don't want to risk whichever is sleeping dying too quickly to a stray hit or an enemy getting too close. does anyone have any ideas on how to handle it in a way that won't get one killed really easily? my dm is super cool and okays most things even if they are a little bit op, so any suggestions at all are more than welcome.

thank you guys!