As I review the user comments on Newegg, I see that the Rosewills draw some criticism for allowing the HDD to run very warm, whereas others get less criticism. (Aluminum cases, rather than plastic, claim to be better - hmmmm, maybe so.) Also note your choice has no fan, whereas you asked originally for active cooling.
Anyway, other units from Newegg with lots of positive user comments include the Anyware ME0740JBK at $30, Kingwin JT-35EU-BK at $30 (comments say it has a fan but poor vent holes), the AZIO's like I have at $31 in either black or aluminum, Thermaltake MAX4 N0003US, and more as you go up in price. Ones with fans cost quite a bit more, I see - no surprise.
Just a technical note on eSATA. If you have a real eSATA controller in your machine, all is good. My mobo has it built in. But in case you have only internal SATA connectors, most of these cases (check to be sure) include an adapter bracket that fits into the back of the computer case, plugs into a regular internal SATA port, and gives you an eSATA connector on the outside. BUT you are still depending on the SATA controller for functions. A few SATA controllers did NOT include two important features that are necessary for eSATA: hot swapping capability, and support for a longer connection cable. But many did, anyway and yours might do it all just fine.
Also pay attention to fine details. In the Newegg user comments I see a very few units supply instead a cable with an eSATA connector on the case end, but a regular SATA connector on the computer end. Obviously designed for the same situation of no actual eSATA controller, but a different solution. Instead of a back-of-the-case connector, you have to feed the cable into your computer case somehow and plug in internally.