I’ve owned a private houseboat on Rainy for 10 summers.
Any of the fishing lines you suggested will be fine in both braid and mono, whatever you prefer. Just about anything and everything can work for you: various crank baits in various styles and colors, jigs with minnows or plastics, spinner rigs, live bait rigs, etc. should be good. The water is still cold and fishing shallow < 12 ft is a good bet.
We’ve asked and tents are not allowed at houseboat sites; Park rangers may not ticket you for that and just ask you to take it down. Sometimes they ignore them. You can set a tent up on the roof and tie off to the railings (no tent stakes <g>). It should handle a tent about 8 ft wide, maybe 9 ft .
Your houseboat company will provide navigation maps, explain how to read the buoys, and recommend good sites to tie up. I don’t recall ever seeing a picnic table at a houseboat site, but you will have a table on the front deck of the houseboat. The sites will have tie off rings or posts, and fire rings.
Your houseboat may include a 16 ft fishing boat without a motor as part of the package. You can rent a motor or maybe pull the one off your 14 ft boat. Ask the company for recommendations for sites and fishing areas where you can stay substantially out of the wind. I would be concerned that two excited adults leaning over the side to land a really big fish could tip a 14 ft boat enough to fall out. Wear life jackets. The shock of cold water can suck the air out and disable an experienced swimmer – I saw that happen to a life guard/swimming instructor.
Be careful in your fishing boat anytime you are within 100 ft of visible rocks, rock markers, or shoreline. Boulders can come up fast and are hard to see.
Bring warmer clothes than you expect – the air gets cool as it blows over the cold lake water. If you travel east of the Brule Narrows, don’t count on cell phone coverage – its spotty at best. Turn off global roaming to avoid Canadian towers and billing surprises.
If you have questions or need help with anything, get on the marine radio. The houseboat company, their customers, and other private houseboats all monitor the company’s designated channel, and everyone is very willing to help. But don’t expect detailed fishing tips over the radio.
Don’t get too concerned with all these warnings – just relax, use common sense, and you will have a great time. Rainy Lake and the park are incredibly beautiful.
We’re heading up there tomorrow afternoon thru Memorial Day. We monitor channel 06 almost continuously (even from our fishing boat), and if we’re within range we’ll respond. Our boat name is Vagabond.
Have lots of fun!
Bob