Snooker can be played with a broom handle. I played for years using a 13.25mm tip. Don't give up the idea of using a good pool cue for snooker as well - a familiar cue is a great plus.
Ah but had you got familiar playing with a proper snooker cue you'd be eating them words now.
The typical pool cue....Laminated maple chopsticks attatched to a butt inlaid with bits of coloured plastic by robots wrapped in an irish womans knickers. The whole lot then covered with layer upon layer of thick varnish.
No wonder the pool players wear poncy whacko jacko gloves and use bucketfulls of talc.