Thanks a lot for the input. There is no doubt that it will take considerable effort to raise money through a fundraiser, but I have none the less taken the plunge. I have set up a campaign on a site that specialises in charity type fundraisers, and I have also created a Facebook page and a Twitter account. So far I have only been able to raise a modest $130 dollars, and that money all came from friends and family.
My strategy has been to try and reach out to other members of the LGBT community (through Facebook and Twitter), simply because that's where I expect to find the greatest sympathy for my situation. However, many are in the very same situation I am in, and find it hard to spare cash for someone else saving up for an operation.
I will continue my efforts, and I will be sure to report back here with any interesting discoveries I make.