Yes it would take quite a lot more bedding, but then the more you have the less you use later
Especially if it's deep enough. When you have a large cage there is not the need to clean it out regularly. You'd want 4 to 6" depth of substrate ideally - or you could have one end deeper than the other. Then you just spot clean. Syrians will usually use a litter tray with chinchilla sand in, if you put it in their pee corner/spot. Both our Syrians have been toilet trained and the rest of the cage stays dry. I only change the substrate about once every 3 months, and even then only change about half of it and put the dry/bottom half back and mix it in so it still smells familiar.
Getting substrate in bulk can help. Boxo in the US is economical I think. Not sure what you use now, but if you have a favourite substrate, then you could use mostly Boxo and a bit of Carefresh or whatever, in one area.
You'd probably need the substrate lower at one end to fit a Syrian sized wheel in. They need a 10 to 12" wheel depending on how big your hammy is.