How cheap is cheap?
The goat island skiff might work for you, done right it costs about $3000-$5000US, but if you just wanted a quick and dirty boat to use for a couple years you could probably get it down to about $1000 plus sails, the plans call for a 110 sq ft balanced lug, but there's no reason you couldn't put a junk rig on it.
It's 15 1/2 feet long, 5 foot beam, well under 200 pounds all up, fast, and can carry 4 people, plans include yawl version.
https://www.storerboatplans.com/boatplans/goat-island-skiff-simple-sailing-boat-excellent-performance-lightweight/
They've got a page on facebook, quite busy there too.
most places it's quicker and cheaper to find something second hand and fix it up.
Bill.