Why don't you try the method used in the Victorian Kitchen Garden?
Melons were planted on the greenhouse staging and trained up the eaves. From what I remember they went out into the fields and dug up some fibrous grass 'sods'. Turned upside down and melons planted in them. Must be very fibous apparently as it emulates the melons natural growth medium.
Hang each melon in a little net bra of its own..and Bobs your uncle!
I grew two plants in a plastic cold frame last year! They seem to send out loads of male flowers until they are established, then they start with the female flowers!
At first I thought I had a queer melon until eventually (as always, taking there time!) the female flowers arrived!
Not a trmendous succces as I only got two edible melons from two plants!