You can specifically state the pickup or delivery location that should be displayed by adding two hidden fields to your shopping cart page just above the <div id="storePickupApp"></div> element.
Set pickup location
<input type="hidden" id="pickupFilterByField" value="id" /> <input type="hidden" id="pickupFilterByValue" value="10001" />
Set delivery location
<input type="hidden" id="deliveryFilterByField" value="id" /> <input type="hidden" id="deliveryFilterByValue" value="10001" />
Note setting a specific location will ignore any inventory or product settings