IDK ... if your budget tops out at $1,000, putting brifters on a vintage bike seems economically feasible only if you can do the work yourself. You can buy used 130 OLD hubbed-wheels from CL pretty easily, but who knows if they're in decent shape? The rest of the work - cold-setting the frame, probably, buying brifters/derailers/cables/chain will cost a pretty penny for anyone with a tight budget.
That LeMond, though, looks like a great buy. I keep looking at it myself, but the budget isn't there for me. I don't know where Dunning is, fortunately, and I can keep myself from looking it up. If it fits, I think it would be a step up from a $1,000 new bike.