What kind of riding do you like to do? Park/pipe/freestyle vs freeride? I'm 5'10" and have had a variety of sizes. I rode a 153-55 which was fun for tricks, but lacked overall performance. I prefer big mountain/freeride type terrain. I like to cruise, and hit the steep and deep vs anything close to the terrain park. My main board now is a 161. It's great all around. My splitboard is 165 since we're mostly riding in powder and the extra length is nice. But I would find the 165 a little long for resort riding.
I would look for a 158-162 with a with a medium flex or basically a more freeride type board. Unless you're planning to just hike the pipe all day, you don't want a board that's too flimsy. Those boards are great going fakie half cab tuna roll off the box, but won't stand up with the various snow conditions you could face and different terrain like flying throught the trees, powder, corn, ice, etc. But it's all opinion and you can still ride whatever you want on any type of board.
Not sure about places to stay. I never stay for the night since I can ski for the day and come home or know people in the area to stay with or have their own place. If you don't mind driving 20 or so minutes, you could save some cash by staying in Silverthorne, Dillon or Frisco and be able to ski any of the other places too like Breck, Keystone, A-Basin. But if you're just going for Copper, maybe Google Leadville. It's not far past Copper and you leave behind a lot of the Summit County traffic. There's probably some deals now online if you want to stay at the actual resort. If you need lift tickets hit up a local King Soopers grocery in Denver on your way through. They usually sell lift tickets and save you $10-15 vs just paying at the mountain.
Now when you turn 21, we'll talk about Apres` Ski.