For my quote option it looks like this and I have "Accept Quote Requests" enabled in store management just like you. perhaps try adjusting your setup to work similarly. (1 month ago, Mar 28, 2024, to Technical Issues)
[...] Still stumped. I even took an existing method (USPS large Box Priority) and changed it to manual (and removed dimension restrictions) and it said no [...] (1 month ago, Mar 28, 2024, to Technical Issues)