Enabling c_t and longs_t without enabling s_t ligatures

Enabling c_t and longs_t without enabling s_t ligatures

I'm using the Hoefler Text font in xelatex with long s:
\usepackage{fontspec}
\setmainfont[Contextuals=Inner]{Hoefler Text}

But I want to use the ct ligature (it's from the Rare set):
\usepackage{fontspec}
\setmainfont[Contextuals=Inner, Ligatures={Rare}]{Hoefler Text}

Oh no! fontspec has also replaced all of Hoefler's longst ligatures with st ligatures when loading ct ligatures from the Rare ligature set.
Is there a way to enable the (Rare) ct ligature from Hoefler Text without also enabling the (Rare) st ligature? I tried to use the selnolig package to selective disable the st ligature (\nolig{st}{s|t}) but that also stops the longst ligature from being used. I'm trying to produce text how people of the early 19th century were able to:
Example #1: Encyclopædia Britannia (5th edition), 1817.

Example #2: The Minion Pro font correctly uses the longst and ct ligatures.

Note: People of the early 19th century didn't buy Minion Pro for US $199 (which is like us paying US $4.1 million), so I'd also rather not =)