Please recommend an all-season travel trailer with bunk bed?

You should locate this sticker when you open the driver's door for as equipped payload. Note what yours has where mine is 2051.



From there, subtract estimated weight of your family and some things to keep them occupied when traveling.

You also have a receiver limit of about 900 pounds.

You'll be a lot happier if you start under 6k dry and 700 pounds dry TW. Use a weight distributing hitch with integrated sway control.

Nash 25C looks good.
Lance 2185 is a light BH, available dual pane windows and good insulation too.