So I am going to traveling across an icefield for two months this summer and I'm trying to figure out what kind of ski setup I should get. I have had talks with many people whether to get downhill skis with tele bindings or backcountry xc skis. I am an intermediate-advanced skier, and I want something that when I'm off the icefield I can still ski through potentially deep snow or hard pack. Not looking to spend a fortune either, I have a graduate student budget so looking to spend $300-500 for a whole package, skis, bindings, boots. Thanks!