the traps in your piping that are there to keep methane from coming up the sewer into your house work the same way backwards, even if you can get by those it still may not be a good idea, you cant feed air pressure into a drain, if your house is near others ect.. the smell might get out, not ever house has PROPER vents, your vent may be in the atic and moisture up there is never a good thing. take it from a plumber.. its to much of a headach and to many potential problems. a filter can be bought for under 100 bucks.
that and since its in your basement if you ever get a plug youll have nice fresh water with brown hunks in it coming out your fan.. na such a good thing imo.
good luck!!!