Heat oven to 350°. Combine
caramels and half-and-half in a small
saucepan. Cook over medium-low heat,
stirring occasionally, until caramels are
melted, about 8 minutes. Cool slightly.
In a large bowl, beat butter and sugar
until fluffy, about 3 minutes. Beat in egg
and salt, then cooled but still fluid
caramel mixture. On low speed, mix in
flour. Add some dough to cookie press.
Press cookies out onto ungreased baking
sheets. Bake at 350° for 10 minutes, until
set and just beginning to brown around
bottom. Transfer to wire racks to cool and
repeat with remaining dough.
In a small saucepan, combine
sugar and half-and-half. Heat over
medium-low heat until sugar is dissolved.
Place wire rack with cookies over a baking
sheet. Drizzle with glaze and sprinkle with
salt. Let cookies dry until glaze is set
before stacking or storing.