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There are self manage\select stocks and shares ISA' you can use where you can pick and chose your investments.
So its not so much about the type of ISA but really finding a firm providing a product which lets you select what you invest your money in, one such company is Share.com.
Have a look at the details here, and let me know if there is anything else I can clarify for you.
Just wanted to follow up to see if you need any further assistance, or if your happy for me to close the question?