Flight
Lihue is the major airport on the island of Kauai. Flights from Minneapolis to Lihue are available, most of which include 1-2 layovers. You will want to allow 1 full day for travel. You may also want to consider flying directly into the Honolulu airport (on the island of Oahu). One-way and round-trip flights run throughout the day from Honolulu to Lihue, with a flight time of only ~35 minutes.
House Or Rental
Numerous VRBO's are available close to The Beach House. Search "Poipu Beach," "Lawa'i Beach," "Poipu" or "Koloa". Consider gathering a group of friends and renting a beach house for the week!
House Or Rental
The couple rented a condo at this site through VRBO and will be staying here from Tuesday afternoon through Sunday morning, then will be hopping islands for their honeymoon! It is approximately 15 miles from the airport, 2 miles from The Beach House, and 0.5 miles to Poipu Beach. Stop by and say hello!
Hotel
If you're looking more for the hotel/resort experience, The Sheraton-Kauai is nearby and has wonderful accommodations. This is where the shuttle will be running both before and after the wedding festivities.
Hotel
Another beautiful resort option!