Went to Iceland (and other countries in Europe you may/may not be interested in) in May this year. I can give you advice on what to do there, where to stay, general handy info, etc. if you want.
I didn't go for as long as youre planning but I think $10K is probably going to be enough. The most expensive part is the to and from flights. Flying through Europe is pretty cheap and youre probably going to be staying hostels id imagine (and recommend) which is also good for cost saving.
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