Here you go:
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3,100 km or 2,000 miles.
Let’s break the 2,000 miles down day-by-day:
Hook of Holland > Black Forest > Feist > Davos (I didn’t even try to make Feist to Davos 600 miles) > Stelvio > Waidring > Eagles Nest > Hook of Holland.
Sat 29th To Belgium/Gemany - I’d suggest somewhere halfway between the Hook of Holland and Fiesch, which alone is 1,200 km or 750 miles. Let’s say stopping overnight at Kaiserslautern, by way of example only. That is 580 km / 360 miles.
Sun 30th Kaiserslautern to Liesch, Switzerland, via the Black Forest. That is 600 km / 375 miles.
Mon 31st Fiesch, Switzerland on to Davos, Switzerland - At most this is 200 km / 125 miles. I have no idea how you plan on making this 950 km / 600 miles.
Tue 1st Davos To Waidring, Austria via the Stelvio. I make that 450 km / 300 miles.
Wed 2nd Waidring, Austria, then on to Eagle's Nest Austria/German border (60km) - Agree on this distance of 60 km / 40 miles. This gives a full day at the Eagle’s Nest which, as it’s August may well be busy with tourists.
Thursday through to catching the boat at the Hook of Holland on Saturday night. It’s 1,200 km / 750 miles over three days, which is 250 miles a day. I’d suggest, something along the lines of:
Thursday: Eagles Nest to say somewhere around Zumhaus 390 km / 250 miles.
Friday: Zumhaus’ish to Koblenz 360 km / 225 miles.
Saturday: Koblenz to Hook of Holland 460 km / 280 miles.
I suggested Koblenz, simply as it’s a nice city to spend your last night on tour. It’s also near enough the right distance from the Hook of Holland for your last full day.
Total distance Hook of Holland to Hook of Holland, taking in all your ‘must do’ locations and including the Black Forest is 1,955 miles…. Let’s call it 2,000 miles all in, which matches the overall distance given at the start of this post.
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Note: That’s avoiding all motorways. You may well find you’ll need to use some, getting out of Holland and into Germany. Likewise on the return. But, you know you, way better than we do, when it comes to roads to ride, daily mileages, start and end times, stopping and doing / seeing ‘stuff’ along the way.