I didn't see this mentioned, so I'll just add this. Full trailer with brakes is always preferred. Dolly would be next preferred as long as it is rated for the load and preferably has brakes also. Last would be flat tow.
The biggest concern for flat or dolly towing a K truck is what transfer case you have followed by what transmission.
NP203
1. Automatic Transmission: Transfer case in "N", Transmission in "P", no need to disconnect rear driveshaft. The NP203 has the oil pump on the rear output shaft and as long as the rear driveshaft is turning the transfer case is getting lubed. The transmission oil pump is on the transmission input, so if the output is being spun without the engine running you will burn up the transmission.
1 Manual Transmission: Transfer case in "N", Transmission in "N", same as above for driveshaft. T-case consideration is the same, but manual transmissions are splash lubricated by gear oil and don't have a pump tied to the input, so they won't burn up if spun by the output.
NP205
Same shifter positions as above for both transmission types. The NP205 does not have an oil pump and is splash lubricated by oil in the case whenever the transfer case is being spun.
NP208/NP231/NP241(basically ALL aluminum case transfer cases in a square)
Disconnect the driveshaft in all situations where the rear tires will be spinning!!!
The 208/231/241 family have the oil pump on the input of the transfer case. If the rear shaft is spinning and transmission is in park, no oil is being pumped and the t-case will burn up.