Elmers white or wood, titebond i or ii, or other pva "school" glues work really well for the majority of building. Use toothpicks, skewers, skewers cut to a chisel shape,, small artist brushes, or an irrigation syringe to apply appropriate quantities.
The killer is dry time. The stuff has pretty fast "grip" on well fitted sections, but will need stabilized for a couple hours. Pins, magnets, clips, whatever you use.
Believe it or not it is not that much added time to using instant glues if you only build an hour or so then stop. On an instant airplane weekend this doesn't work though, dry time. PVA is also not very good for laminating large areas, but CA is not very good either, so use epoxy.
Weight wise I do not have numbers. My results did not seem heavier than eye burning CA glue. I am not a master builder, nor do I weigh everything.
Phil