A source for the cost of washing out bottles? No. I guess you might use about 100mℓ of water that you've heated from, say, 28°C up to 40°C, which is 1200 calories, or about 5 kilojoules. But the cost of the detergent and the new bottlecap might be more.
The cost of recycling an aluminum can, however: an aluminum can is about 14 grams of aluminum, which is about 300 kilojoules according to the above; supposedly (sorry, no source handy) recycling it takes about 10% of that amount, or 30 kJ; that's about US$0.0004 of energy.
I recommend never putting a bear in a virgin bottle.
You can probably reuse some of the heat for the washing up. And perhaps even some of the water.
I've heard that glass bottles are more convenient to wash, because you can use hotter water. (That's from a reliable source --- a visit to a beverage bottler on their open day.)
Do you have a source for this? I am quite amazed that the British drink their bear out of virgin bottles. In Germany re-using bottles is common place.