We rent a car as well as a golf cart when staying in the cabins. We also use a grocery shopping service

Yes, I'm lazy on vacation. The car runs under $200 per week and gives us the freedom to go where we want (like outlet shopping) when we want.
We can also make it from baggage claim and into our room in about 30 minutes if there's no traffic

I even have the toll money set aside in advance.
I use a grocery service because I don't want to spend over an hour figuring out a new store and running the risk of forgetting something.
We do pack a few grocery items from home, such as marinades, foil, plastic wrap, coffee, zip lock bags, and cheapo bbq tools that we leave behind (from the dollar store).
You might want to consider wegoshop instead of garden grocer. They will shop using your list from the store you select and will present you with the receipt. I wasn't all that thrilled with GG. It also seems like wegoshop is a more personalized service. The owner called it more of a personal shopping service rather than just a grocery delivery service. She'll get whatever you ask for where ever you ask her to buy it. Of course, there are delivery fees involved, which are all noted on the website and are based upon how much she spends.
I'd rather pay a fee and know how much the groceries really cost than deal with GG's fixed prices.
The downside with wegoshop is that you have to build your own shopping list - there is nothing available for you to use on their website.
I cheated - and created a My Favorites list on GG and then just copy it into an excel sheet and use that as your base for a shopping list for wegoshop.