its your first trip, I wouldn't know what to say about taking a 40 minute shower to calm your self, i've had pretty spaced out/trip moments while in the shower with all the noise, water and everything, introspective and calming but... you may end up being in there longer then 40 minutes without realizing it.
Try sitting down cross legged with the water over your head/face and close your eyes during your peak!
Best bet is to just not go home.
The thing is nobody knows how you'd react, i've only met 1 kid who always on acid he would freak out at everything and everyone, he had to goto the hospital once because he started screaming at the taxi driver all sorts of random bullshit as 1 of his friends was escorting him home...
Granted you're not a total idiot or psycho deep down i'm sure you'll be fine...
If it's your first time, do NOT go home...
I've talked to the rents fucked out of my mind but i've been used to it for a while..