I think it would be easier to do it via the ball coupler. You'll need a little "kit" consisting of a jack, some blocks and the Sherline. Get the trailer nearly level then just lift the tongue slightly with the Sherline.
This measurement will only provide a minimum value for you though. Once you add propane, battery(s), front storage items and possibly waste/clean water all things could change.
I think our trailer had a sticker that put the tongue weight in the mid 700's, but when ready to go it's more like 1,000.