Is there any way to place a structure at specific coordinates?

I know about the place NBT structure, and about command execution, but those have 2 problems:

Command execution:

• Generally unreliable as it places it with around ~10 blocks
• Will not work if terrain nearby is unloaded (Large structure)

NBT structure:

• Jigsaws dont work

So, is there any better way?

(To be precise, I want a structure at X 0 Z 0 (I dont care about Y as long as its consistent, its a flat world so that shouldnt be a problem), that has jigsaw blocks in it)