well, if the Jimmy has the factory tow package and the 4.3 vortec, you probably do have a 5000lbs. tow capacity. that's what the Astro/Safari vans had.
just remember, the 5000 amount is figured on the vehicle having just a 150lb. driver and nothing else, except fuel.
anything or anyone extra, reduces the 5000 number, by its weight. that includes the WDH.
i tow a 23' hybrid with a 5.3 v-8 and i wouldn't dare tow it with a v-6. but i live out West and have lots of mountains to get over.
even with flat land, i would be looking at a 19'-21' ultra-light bunkhouse trailer.
the Rockwood 1905 or its twin, the Shamrock 19FD, would give you the Murphy queen bed and bunk beds, in a package just under 21ft.
and Zoe the Wonder Dog(R.I.P.)
'07 Roo 23SS pushing an '07 Chevy Avalanche
Equalizer WDH and Prodigy BC