I use Konq for several things, but not a lot on the web. That said, I have never seen the effect you describe. I'm running Konq 3.5.9.
What type of monitor do you have? Flat panel, or CRT? Does this happen in any other application?
You can try another browser, I use Firefox for the web, but the are lots of others to choose from. Opera is nice, even has a e-mail client built in.
Zommed out too far? Hmmm. Try resetting things to the 'default' settings under Settings-->Configure Konq and see what happens. Mine comes up at a reasonable level. I'm running compiz on the desktop, and can zoom with the ctrl + mouse wheel, as well as ctrl + the +key. Works quite fast....
If your system is not too fast, you might want to try turning down the visual effects in KDE. They can make a system seem slower that it needs to be.
Hope this helps...