Thanks for the continued replies.
So, by my calculations, I should aim for something between 5000 GVWR (perhaps the ideal) and 6000 GVWR at max.
I saw in a 2012 Sequioa product information sheet that if it has the tow package the payload is 1600. Problem is I've seen several different numbers in reputable places and on top of that I'm not sure if I have the tow package. I assume just having a built in hitch isn't the tow package.
Jayco has at least one 5500 lb trailer that looks like it might fit our needs. Any recommendation of which company makes the lightest trailers?