I haven't used it in such a manner so this is just a suggestion but there are many silicone moulding rubbers available in varying degrees of flexibility that would probably give you what you want. Pigments are also available to colour it – to the degree you want – without affecting its properties.
An eBay search would probably help but the name Alec Taranti as a supplier springs to mind.
It's been a long time since using it for mould making but it will certainly flow and set to minimal thickness for what you describe
Hope that's of help
Tug