As you dont need 3G, so you probably will be running internet with EDGE connection.
If you will run internet on your mobile also, then all you need is a QWERTY phone. Though 5230 and 5233 are good phones under budget, but it will be better to type in a real QWERTY pad rather the virtual QWERTY pad of touchscreen phones. AFAIK 5230 and 5233 cost around 6k.
So, for good internet speed in both mobile and PC with ease in browsing (in mobile) go for Nokia C3-00 (with WiFi, EDGE, 2MP camera) @ 5.5k or Nokia X2-01 (VGA Camera, No WiFi but has edge) @ 3.5k.
If you want a Symbian OS phone with good speed with then you can go for 5230 ar 5233.
But if you will be doing much internet work on PC using your Operator then better go for a DATA CARD. It will be a better choice coz using mobile with PC regularly, will reduce your Battery life.