Since the bike shakes even worse, either all that weight is not needed or the rim is way out of concentricity with the hub.
Truing stands are easy to make, good (enough for this job) dial indicators are cheap as are spoke wrenches. It just takes time and patience... and a light touch with the spoke wrench! An eighth or sixteenth of a turn makes a difference.... Nipple grease makes things more pleasurable too.
I rebuilt the front wheel of my DR650 when the rim split. It turned out well and was easier than I thought.