in reply to CPAN PREFIX or INSTALL_BASE

I misunderstood, believing that you have full control of your host. Reading your subsequent posts it seems you don't have this power and so you will have to abide to your provider's rules (like perhaps you wont be able to use the C compiler because they see it as a security threat). As a result, my suggestion that you install perlbrew may not solve your problems as it will introduce other walls because of your limited control. You can surely install perlbrew as normal user in your home-dir. And you may find a perl binary to install without the need of compilation. Perlbrew can incorporate that binary and manage it. Too much work perhaps for hitting a wall later (e.g. with installing modules which require a C compiler).

This may be helpful https://www.namecheap.com/support/knowledgebase/article.aspx/9693/29/how-to-install-perl-modules-on-shared-servers as it seems to describe your case and a remedy in a similar hosting environment. It is unclear whether following their instructions, even with the C compiler disabled, you can install XS modules which require it.