I think a good strategy would be to hit on girls at the grocery store after their workout since presumably their guard is a little bit down compared to the gym setting, and their endorphins are in full effect. Plus you can approach them spruced up instead of being sweaty in gym clothes.
I agree. It's totally possible to be in a grocery store in regular clothes and hit on women who have just left the gym in workout attire. I have done that.
It might be logistically complicated to do a Fry's & Whole Foods or Fry's and Trader Joe's gaming session back-to-back and keep the food bought at the 1st grocery store fresh.
Easy fix, get the perishables at the final location.
That is one way to plan it. Another way would be to alternate visits to those various stores over time.
One of the things I learned many years ago doing grocery store game is to put non-perishables in the basket during an extended game session at a grocery store. You do the non-perishables shopping, then focus on approaches for a bit, then pick up the perishables.
The best parts of a typical grocery store for picking women are the produce aisle and the beer/wine aisle(s). However, I have done approaches in almost all aisles. I have not approached a woman while she's picking up feminine hygiene products though its likely I've done an approach where a woman already had feminine hygiene products in her cart.
In Texas, grocery stores can only sell beer and wine. In the United States, alcohol laws vary from state to state. In Texas, if you want to pick up spirits, there are specific liquor stores for that. Total Wine & More is an example of a place to pick up liquor and even have a bigger wine selection than most grocery stores. A mega liquor store like Total Wine & More can serve as a good pickup venue.
Few people ever talk about liquor stores as a non-bar approaching option.