Shul recommendation for Shabbat Morning service NYC

For background i’m 21 f and in process of conversion via Conservative/Masorti movement in the UK. I’m visiting NYC in a week and I already have plans for Friday evening. I’m going to CBST and I did have plans to go to Park Avenue Synagogue for Saturday morning services but I emailed them about Shabbat lunch hospitality after services (My rabbi told me to email and ask) and they basically just said “there’s a kiddush after the service” so I’m not feeling super enthusiastic about Park Avenue anymore.

Was wondering if anyone had any suggestions, I’m open to Modern Orthodox shuls as long as they are on the more accepting/inclusive side- I dress pretty masculine and usually wear a kippah to services. I’ve also already been to Romemu and BJ before so want to experience something different.

Has anyone been to Lincoln Square Synagogue as the Cantor at my shul mentioned it to me but slightly unsure if I’d feel comfortable or not in a modox shul.

Edit: Just to clarify it’s not the kiddush/lunch itself I was feeling a bit meh about, it was more of the tone of the email from them even after I had explained that I’m travelling alone and have no Shabbos afternoon plans etc.