I agree $100 isn't a very big fund to work with to get decent filtration... Which will limit the stocklist...
The AC 110 is a workhorse of a filter and the Media that comes stock with it can be rinsed and reused without incurring ongoing costs of replacement cartridges or even materials to rebuild cartridges...
If you shop around ebay you can usually find them shipped for around $60... I would encourage you to press your budget a little and get two. I run two of them on my 75 gal and am fairly happy with the result ("Bio Filtration" is fine, but solid waste isn't all collected).
Then in the future when you decide your sick of the waste collecting at the bottom you can add a powerhead which will help (I suggest the Koralia powerheads, the fanlike design makes them great for pushing solid waste toward filter intakes).
I know it's a bit off topic, but once your tank is rolling you will see how it ties in... what kind of substrate do yo uplan on using?
If you use gravel, be sure to 'vacuum' the gravel regularly (weekly is best). As in this 2' tall tank it is likely that waste will settle into the gravel and ropt rather quickly if not removed.
I use sand (Pool Filter Sand) in all of my tanks. The waste sits on top as opposed to falling in between, which can be unsightly, but is much easier for my filters to pick up and much easier for me to siphon out if the filters don't get it...