The option order will not have to be sold on the bid. Most platforms will allow you to send the order as a spread, buy stock and sell call. You will get a much better fill as it will be filled as a spread and need less edge for the MM then if you sell each one separately. I would suggest you start at "optimistic" price to be filled and then walk the order down. Start with a 1 lot until you have an idea on the price.
You could also just sell March 20 45 put, this is synthetically the same as buying the stock and selling the call, and easier to put on.
You could also just sell March 20 45 put, this is synthetically the same as buying the stock and selling the call, and easier to put on.