There are innumerable ways infact to spoof the fact you're not using TOR to a website, and you can read up on these in the TOR documentation.

Ideally you're looking to use TOR as the first hop, and then you dial into the wider Internet with a VPN, or as I mentioned: Using various Google services to camouflage traffic instead of a VPN. This is where pluggable transports come in, because Google doesn't like TOR, so you want to choose how you're connecting to Google, and get to traverse the TOR network to find an optimal route.