I think squirrel cage is only in the rare cases called centrifugal, where the air goes in into the middle and gets blown outward.
While the fan which is normally called squirrel cage you find in fancoils often just "spoons" the air and it does not go into the middle, and can not produce too high pressure.
A really good fan for such a project is to get a used IBM blade server fan(K3G180-AC40-07), which is a top notch industrial fan from EBM-Papst. It is with a BLDC motor and the controller, and you can get it for a much lower price than what such a thing would normally cost new.
You can get enough pressure with it on lower rpm, and if noise is not at issue, on max. power it is really powerful.
I have one, and also wanted to build an air purifyer with it, and it is still on schedule, only issue is, that there is no proper documentation for the control of it.
But if money is not an issue, you may can find the same fan alone with some standard interface.
(Have to add that the control can be atually easily done with a variable DC voltage source as well, so if that is OK for you, than you can have a go with them)
Still if someone may knows about some more detailed doc., please let me know!