Fonsie! Glad to see your starting to plan this trip!

Figure on about $5,000.00 with gear and a little "safety net", I ended up spending a good deal more then that due to hanging out in town and adopting the dog in Erwin.
You can do it for less but be carefull in town and plan things out so your not wasting time and money while hiking.

Have fun, hope to see you on some of our winter hikes this year.