Yes for $2100 to $2400 you can get a re-man SOHC GT engine. But after the machine shop goes over your motor, it will be for all intensive purposes a zero mile re-man unit. I presume it will have a warranty as well.
The machine shop is in a tough spot. To diagnose the problem much disassembly is required. The labor involved to test every part to see if it is re-useable is much greater than the cost of the parts.
How would you feel if the motor was put back together with used parts and a problem quickly occurred?
If 2400 is too steep for you, try the salvage yard approach. For sample prices, go to car-part.com. It is a searchable web site of linked salvage yards.
I recently purchased a 30k mile engine from a 2004 Crown Vic for 800. The motor is in my 2000 Mustang GT and is running great!
If you really want to perform a min re-build, you may have to do some of the disassembly yourself. Have the machine shop work on just the pieces that you want. They will charge based upon what you want done.
If $$ are an issue but you don't want to do the engine disassembly/reassembly yourself, it is hard to argue with the salvage yard route.