We have a high level Perl program which calls Net::SSLeay->get_https() with the correct high-level parameters such as host, path, port, and specific data fields. It's been working great. Until the target web site decided to require that the SNI be passed along as well.
Steffen Ullrich made a helpful comment here: perl - Net::SSLeay and Server Name Indications So now we know that Net::SSLeay->get_https() cannot pass along the SNI.
I've looked at IO::Socket::SSL, Net::SSL, LWP and related routines, and all I see are low-level functions. What we really want is another high-level module we can call which will pass along the SNI. We can modify the parameters we pass this high-level module, so it doesn't have to be an exact replacement for Net::SSLeay->get_https(). But there's no way we have the expertise to get into the HTTPS details.
What Perl module(s) should we try?