I think the map part is separate, the regular results didn’t take my IP into account from what I can tell. But I can’t guarantee that of course. Otherwise you could also check out mojeek. From their about page:

We act on our own agenda and not that of others, this is why we focus our time on one thing and one thing only - “No tracking. Just Search.” When you conduct a search on Mojeek, your results are based entirely on the keywords you typed in. Mojeek does not possess any previous identifying information on you, such as IP addresses, search history or click behaviour.