Places for introverted people?

NOTE - I'm a woman asking a man out, so it's already a very stressful situation. i'm shy and introverted whereas he isn't. i do not want to look extra dumb so I want a date idea where it is okay even if there are long silences. Where can I ask him to come? Movie date is a good idea but i DO want to talk to him and not just watch movie for 2-3 hours, so it doesnt seem suitable. Any date ideas where we can walk and talk? What place should i go to? It shouldnt be crowded as that makes me panic and behave immaturely. Thanks.