is Apache a real need? if you need to run a microwebsite embed into a portable StrawberryPerl distro many other options are available: Starman Plackup and even other frameworks offers the possibility to run micro webserver:

I bookmarked a oneliner by YourMother that goes like:

plackup -p 5000 -MPlack::App::Directory -e 'Plack::App::Directory->new
+({root => q{.}})->to_app'
[download]

PS see also Simple http server one-liner for some static files? and Webserver Oneliner

I suspect that doing this way will be simpler than with an entire Apache installation.

Spend your time investigating in the security implications: accepts only from localhost for example.

You can modify the portableshell.bat that comes with Strawberry portable installation and launch directly the webserver and finally start http://127.0.0.1:5000 to open the page in the default browser.

CitrusPerl is another option to create a specific Perl distribution.

L*