The feel will be hard to match at $1K. The Clavinovas at $3K and up get close to acoustic piano feel, but still lighter, at least according to my kids who play on acoustic pianos more often than I do. (I have the CLP-785.)
Before that we had a DGX-660, which seems to have been succeeded by the
DGX-670. it has "Graded Hammer Standard" which has a bit more piano feel than other electric pianos.
Try Craigslist for Clavinova. Probably cheap because they're hard to move.