I can't think of many actual horns under $1k. Maybe you might find something vintage for that, but it may not be in perfect condition. Perhaps some older Altecs. You could make some nice Voigt Pipes with Fostex drivers for under $1k. The Hornshoppe and the Z-horns with smaller Fostex are about it, otherwise. Ideally, you'd really want the 8" drivers with higher efficiency for a SET.
Regarding the amplifiers, getting a good SET with decent output transformers for under $1k will be a challenge too. Maybe a used FI X 2A3 would be possible. Or a Wright 2A3. The problem is that the really good output transformers can cost over $1k all by themselves.
Horn Shoppe and Decware are ok, but the Fostex 103 commonly used in the Hornshoppe "The Horns" are not capable of much volume level. A 4" driver can only do so much. Out of the Decware stuff, probably the Jack Elliano designed DRD amps would be my choice. Jack is a good designer.
Regarding the amplifiers, getting a good SET with decent output transformers for under $1k will be a challenge too. Maybe a used FI X 2A3 would be possible. Or a Wright 2A3. The problem is that the really good output transformers can cost over $1k all by themselves.
Horn Shoppe and Decware are ok, but the Fostex 103 commonly used in the Hornshoppe "The Horns" are not capable of much volume level. A 4" driver can only do so much. Out of the Decware stuff, probably the Jack Elliano designed DRD amps would be my choice. Jack is a good designer.