Is there any word for a place full of confusion?

Bedlam is exactly the word you are looking for. The name comes from https://en.wikipedia.org/wiki/Bethlem_Royal_Hospital

or Bedlam : an asylum for the mentally ill a place, scene, or state of uproar and confusion

There is the word pandemonium:

[Oxford Dictionaries]
Wild and noisy disorder or confusion; uproar.
‘there was complete pandemonium—everyone just panicked’
‘I knew that a lack of heir undoubtedly lead to pandemonium and anarchy.’

Origin
Mid 17th century: modern Latin (denoting the place of all demons, in Milton's Paradise Lost), from pan- ‘all’ + Greek daimōn ‘demon’.

As Merriam-Webster further clarifies:

2 capitalized : the capital of Hell in Milton's Paradise Lost
3 capitalized : the infernal regions : HELL
// the demons of Pandemonium

So, you could talk about pandemonium or you could say that you sent somebody to Pandemonium.

The enotes website describes the nature of Pandemonium:

Indeed, the haste with which Pandemonium appears serves to highlight its lack of permanence and the underlying instability of its foundations. This is a fake construction; an attempt to replicate the splendours of heaven. Yet this it can never do as it has been put together by mere worldly materials, and as such can never provide more than a glittering facade for the evil machinations of Satan and his devilish acolytes. Milton helps us see beyond this facade and, in doing so, provides an abiding insight into the things that truly matter.

No doubt this sense of instability and its fake nature is what led the word to take on its current meaning of confusion.