Well, if you plan on using a VPN, then your security is really based on how your phone handles the VPN connection. If you're using a VPN that has encrypted traffic from your device to the network, then (theoretically) your carrier has no visibility of your actions. Connecting to the TOR network would also act as another barrier from your carrier, as your traffic is redirected through a number of nodes before actually connecting to whatever site you are trying to access.
In theory, this isn't a bad method of minimising carrier snooping. The harsh reality is that traffic over the TOR network, connecting to clearnet sites, is fairly easy to snoop on in general. Would your carrier be watching the TOR network? No; but using the TOR network to connect to clearnet sites, after already using a secure VPN, is going to do nothing to help you. If anything, using TOR is going to be the weakest point in your security chain.
Stick with a VPN, and only use TOR if you're accessing onion sites; that will give you the best security, without compromising anonymity. Not to mention, TOR nodes have no real rules about logging traffic; so you might be compromising more than just anonymity when using TOR. Using a quality VPN, that makes it clear they have zero logs, is going to make things more secure for you when using clearnet sites.