So the other thing you could try, is when you did the:
host www.googleapis.com
www.googleapis.com is an alias for googleapis.l.google.com.
googleapis.l.google.com has address 216.58.217.42
googleapis.l.google.com has address 216.58.193.74
googleapis.l.google.com has address 172.217.3.202
googleapis.l.google.com has address 172.217.3.170
You could try to manually put each one of those into your hosts file and do a test and see if one particular end point gives you a better response.
Here is another set of items that resolve near me but they’d probably be not close to you, but worth a try to as well.
host www.googleapis.com
www.googleapis.com is an alias for googleapis.l.google.com.
googleapis.l.google.com has address 172.217.3.42
googleapis.l.google.com has address 172.217.7.234
googleapis.l.google.com has address 172.217.8.10
googleapis.l.google.com has address 172.217.15.74
googleapis.l.google.com has address 172.217.7.170
googleapis.l.google.com has address 172.217.7.202
googleapis.l.google.com has address 216.58.218.234
googleapis.l.google.com has address 172.217.15.106