You should do better than 2000 lb camper, but this is thin line.
I bought my 4200 lb (dry) camper while driving F250 shortbed.
It was scary but I made it home.
Bad news is >> you can't have it all. Don't know what size comes with shower and wet toilet, but I imagine somebody makes 8' camper with them and that should be less than 3000 lb with COG up front, so rear axle would not be overloaded.
Would I have camper with no shower and no toilet, I would rather drive SUV where you can fold the seat for sleeping, add a tent and use hotels more often.