Sorry if this was in a sticky and I missed it, I read the one with all the truck pics but I didn't get enough info(probably because I'm a noob)

I have a '96 Ranger with stock setup and 14's, with 227/70 r14's on it. I need new tires and want to just go ahead and upgrade to some bigger rims and tires without having to add a lift kit right now. In the long run I want to add a 3" lift, but not right now, gotta get new tires ASAP and need to spend money there first lol

How big can I get away with going before I rub? I'd love to go to 16" wheels but am I going to have issues with tires?

Thanks!!