Im unaware of this direct transfer from camcorder to PS3. It may well be a new Sony camcorder thing
At any rate I have 2 Sony HDV camcorders and since they use firewire not USB, the only way to go is via the computer
I dont mean to go one about it but what is a "cheap" camcorder?

Given that the feature of direct transfer to PS3 is probably not a common one I cant see it being implemented on a Non Sony Non HDD model none of which is "cheap"
Regardless of the state of your PC ( about to die and without a DVD writer,) using a PC really is the easiest and least costly way. Even if you burn to a CD, you may still be able to read off the files in a PS3 but the most affordable camcorder would be one of the lower cost SD HDD camcorder
PS: The Aiptek camcorder you have linked does 720p at 30fps. It is low cost , may work (i dont know) but there is a risk that the PS3 may not even be able to play its files
Maybe someone here who has tried may be able to say