iRule to map all and preserve HTTPS

First, a URI will always start with "/", so it may be more appropriate to say "equals". Then you could perhaps do something like this:

when HTTP_REQUEST {
    if { [HTTP::uri] equals "/" } {
        HTTP::uri "/console"
    }
}

There's a good chance, however, that this may not be enough. There's the potential for complexity here, especially if the site returns document object references with the /console URI prefix. Is it absolutely important that you obfuscate the real URI path? If so, you may want to look at the ProxyPass iRule or the rewrite profile in v11.4 and above. Offloading the SSL and replacing the Host header is easy, but remapping the URI can get tricky.