If you had a glass saw, you could cut a slice out of the glass. But then again, borosilicate glass is pretty picky with cutting (I've had to try and save who knows how many pieces of glassware after they break in our lab).
To avoid glass all together, why not just use a tall plastic pitcher (like one of those water pitchers with the lids)? You could even make a wet/dry filter out of that, or even make a DIY canister filter if you can find one that has a screw-on lid with a gasket (something like a plastic sugar jar?).
There is someone on this forum that has been experimenting with DIY canister filters for a while now. I'll try and find a link to their build threads.