If you don't mind diy there are a number of options. Bin cages are one option, but it can be hard to find a suitable sized bin. Also the Linmon cage (instructions on youtube). Which might be good for your floor space as it's designed to sit on the floor. I don't think diy works out that cheap though by the time you've bought all the bits and pieces.
I think a good option in the US for a cage is the Prevue cage. It's a good size for a Syrian - not too big, not too small - and the least expensive cage option without any diy.
It used to $65 so keep checking the price as Amazon sometimes changes their prices day by day - although at the moment everything seems to have got more expensive due to the virus situation. Check out the reviews
https://www.amazon.com/Prevue-Pet-Pr...5377470&sr=8-2