Might have found it!
http://www.192.com/atoz/business/brighton-bn2/tv-dvd-and-video-rental/smiths-television/c6de32d643403b6d9c69e89f0763d1ad81ebcab1/ml/
Pretty useless info coming up..
I'm sure I have seen a place (from the bus on the way to the Amex!) along Lewes Road that rents TV's. The poster in the window seemed to be trying to attract students.
It was on the left heading out of Brighton!
Also, have you not thought about just...