Just measured my mylar sail thickness – 0.05mm (if I'm reading the scale on my mic right). When learning and experimenting I have used bin liner plastic (white, black would have been a bit grim looking) with 3M Magic tape reinforcement at the edges and corners.
Radios – 27MHz does work OK and has the advantage that the TX aerial can be used to snag the upper rigging at risk to the aerial. A wine bottle cork makes a good protector for the far end.
The downsides –
It relies for tuning on crystals. If you never sail in company, not a problem, but if you do, the chances are that you will need a different pair, which ups the cost, probably over that of a 2.4GHz outfit, which works by magic and doesn't need crystals.
27MHz is more prone to interference problems.
With all but the most basic 2.4GHz sets, you get at least 4 channels for very little more money. Not all will be needed for this project, but a future one………..?