I think xmlgold can help you on skrill transactions. I'm not quite sure if they still do the exchange but you can check their site out. xmlgold is a registered member here and a VIP back in 2012.
How about another exchange like poloniex or bittrex ?
None of them seam to support skrill as payout method.
I have found an exchanger that does in fact give skrill conversion, but the fee's are even worse than what you can get here on currency exchange section
Don't know why everyone is avoiding skrill, but accept paypal on the other hand ..
cheers