Can you allow a location where Always Create Pick Line = FALSE is set, to generate picking from the bin even for the quantity that is only ready for warehouse movements.
That means, calculate the quantity available in the bin as the Available Qty. to Take + Put-away Quantity.
It assumes that the warehouse movement will take place first and then the warehouse pick.

Below example to understand the issue:
1. Run Business Central version W1
2. Check the settings on the White location:
- Always Create Pick Line = FALSE
3. Check the starting content of the bin
Search for page Bin Contents and here check content of bin W-01-0001 for item LS-75. It should be like this:
Quantity (Base) = 4, Pick Quantity (Base) = 0, Put-away Quantity (Base) =0, Available Qty. to Take=4.
4. Create Sales Order No.1
Create new sales order:
- Customer = 10000
- Item = LS-75
- Location Code = White
- Quantity = 4
- Reserve the line.
5. Create Warehouse Shipment and pick for the sales order No. 1
From the created sales order create Whse. Shipment and, then create Pick. Do not register the Pick.
After that check content of bin W-01-0001 for item LS-75. It should be like this:
Quantity (Base) = 4, Pick Quantity (Base) = 4, Put-away Quantity (Base) =0, Available Qty. to Take=0.
6. Create Warehouse Movement
In the Movement Worksheet, enter a line for moving item LS-75 in the amount of 6 pieces from bin W-05-0001 to W-01-0001 and create a Warehouse Movement.
After that check content of bin W-01-0001 for item LS-75. It should be like this:
Quantity (Base) = 4, Pick Quantity (Base) = 4, Put-away Quantity (Base) =6, Available Qty. to Take=0.
7. Create Sales Order No.2
Create new sales order:
- Customer = 10000
- Item = LS-75
- Location Code = White
- Quantity = 6
- Reserve the line.
8. Create Warehouse Shipment for the sales order No. 2
From the created sales order create Whse. Shipment and, then try to create Pick.
System information appears: „Nothing to handle. The quantity to be picked is in bin W-05-0001, which is not set up for picking.”

The point is, that our customer requests to generate pick from the bin (W-01-0001) even in this case.