I know exactly what you're talking about. I myself started out on ActiveState Perl. Like you, I really liked the web-based documentation and never really got into using the line-command perldoc utility.
If that's what's holding you back from making the switch from ActiveState to Strawberry, then here's a few alternatives that might help out.
First, I've gotten more familiar with using http://www.perl.org/docs.html for looking things up. That combined with CPAN, it is somewhat similar to ActiveState's web-based documentation system, but not as convenient.
Secondly, I recently found Pod::POM::Web. According to the Acknowledgements section of the documentation, the module was "deeply inspired" by "the structure of HTML Perl documentation released with ActivePerl". I'd recommend checking it out.