So let's take another look...
Original Gravity (of original recipe)
Unfortunately this is missing from the original recipe and this is a very important figure. Looking at the link you provided above, I see that this beer is 7.2% ABV
I know nothing about rye beers or high gravity beers but I think you will need an original gravity of 1.074 to get 7.4% ABV.
Grain Bill (4772 grams) (of original recipe)
3300 g US 2-Row Malt (2040 g plus 1260 g to replace the original LDME)
680 g US Rye
340 g German CaraMunich II (Not sure on the II bit?)
113 g US Carapils
113 g US Caramel (120 Lovibond)
113 g Belgian Aromatic Malt
113 g Rice Hulls
Hop Bill (of original recipe)
This is missing from the original recipe. We need one of these
Possible Batch Sizes Using Original Grain Bill
We need to start with the assumption that you have a big enough kettle before we work further. Using the original grain bill, with an 81% efficiency into the boiler*, you should be able to achieve...
16.0 litres at the end of the boil
13.7 litres into the fermenter
12.7 litres into your keg or bottles
Download this... and look at the first sheet (The 'Volumes etc.' sheet - Cells B5 to B21) and you'll see where these figures come from. Ignore the other sheets.
If you want 19 L into the primary then you would have to change your Brew Length (Cell B5) to 17.6 L and you'll see that B7 changes to 19.01 and your Grain Bill Required (B18) jumps to 6599 grams.
*The 81% efficiency figure I have used above is unrealistic with this grain bill. We will have to lower it to say 73% (I'm guessing here) so, in reality, to get your 19 L into a fermenter, we would need more like 7,322 grams. (Change Cell B10 and you'll see this for yourself.)
The simplest way of achieving the volume you desire would be to have two bags and use both turkey fryers. This would make it all very easy. You would simply do two pure BIAB's and add them together. No problem!
Today's Summary
I think the above is enough to think on for today. Before we go further, we need...
1. Confirmation on the ABV of 7.2%.
2. The hop bill.
3. We need to know if you can make two bags. If yes, we'll be close to a final solution. If no, we are going to need a lot more writing
It's all good fun! Mike, I hope rye beer doesn't taste anything like rye bread
PP