All very important points. It's so hard to get a throwaway phone were I'm currently in... or is it?

Tor is easier: you just download the Tor browser and go

Throwaway phone is also pretty easy: just buy a used phone on craigslist, wipe it and only ever connect it to public wifi and do nothing important on it. Dealers and such do this more widespread to my knowledge. Might be overkill for just browsing the web anonymously or as "just in case" device