choosing a specific version of a driver

I am in a situation (hosted web application) where I have to use the
system DBI, but would like to use my own specific version DBD::SQLite
installed in ~/usr/local/perl. I can't figure out how to (or even if it
is possible to) get the system DBI pick up my DBD and not the system
DBD. In my code...

use DBI;
my $dbh = DBI->connect("dbi:SQLite:dbname=$db") or die "Failed:
$DBI::errstr";

I see no opportunity to tell DBI->connect which driver to use. "use lib
'~/usr/local/perl'" doesn't seem to have any effect.

Advice welcome.

.