I would like to use BTC to invest into a particular thing (Medical stock)... is there such a website that will allow me to do so?
I'm afraid there is none or even if there is one chances are this are not regulated by the SEC. Stock brokerage firms from what I know only accepts the legal tender you have in that country and they don't accept any other kind of payments, since the prices of stocks for example are posted in US dollar of course they will only accept USD there is no straight swaps for BTC/GOOGL since they aren't like cryptocurrencies that has an independent value of its own they still rely on their dollar equivalent. It will be easier for you if you just converted your crypto to fiat and find a reputable brokerage firm locally then what you are trying to look for online.