First, the range estimates you are reading are complete and total BS. Most commercial e-bikes have a realistic range of 20 miles or less. Remember that you never, ever want to discharge your battery below 20% capacity, unless you want to replace your most expensive component every 2 or 3 years, or sooner.

Also, you have hills in Switzerland, and hill climbs are very, very taxing on battery power. Reduces range DRAMATICALLY.

What is YOUR maximum range, on a bicycle, uninterrupted continuous pedaling? Your desired range involves over 2 hours seat time, EACH WAY. I would guess that you have not done anything approaching this, because it is not really feasible for most folks on anything approaching a regular basis.

Yes, motor power can significantly increase your speed, OR your range, but you want BOTH, and that means a LOT of battery. Getting 2 miles per amp-hour is possible going slow and pedaling a lot and you would need 35, that is THIRTY-FIVE amp-hours for your desired range. Cut that in half and that is still a large battery.

E-bike batteries are NOT repeat NOT acceptable on commercial airliners. Go to ebikes.ca and check out their LiGo batteries, which currently ARE legal to fly with. You would need an absolute minimum of 10, that is TEN, of these, that won't be nearly enough, and that alone blows your budget by several hundred dollars, without shipping, and you have to get them to where you are, somehow.

Dahon and Brompton folders are two favored brands, also the Montegue Paratrooper. None of them, with the possible exception of the Paratrooper, has the room for your required battery, so that means hauling 15-20 pounds of battery on a backpack. For 4 hours or more. Every ride.

Something has to give. You can carry a charger with you. You can cut your range requirement dramatically. You can find a place to store a real bicycle with no origami. You can follow Lance Armstrong's training regimen. You can more than double your current budget. You can do ALL of these things, and you still won't get everything you want. Such is life.

If you can currently pedal 20 miles continuous, unassisted, that is a starting point. If not, then there is just NWIH.

Also, the Swedish Embassy apparently still gets several calls a year about booking the team.