I still use IE in Win 7 occasionally, but only when other browsers have problems with sites, such as RS components. Having said that, I've not liked IE since Version 8, 10, in my opinion, is awful.
It's worth installing other browsers just to see if they will manage the updates for you, you can always uninstall the other browsers later if you don't like them.
Do you know anybody else who could download the updates and put them on a USB stick for you?
Of browsers, I'm probably odd cos I postively hate Chrome and dislike Firefox.
I use Opera
(boo, hiss, calls of derision etc etc
)so you could try that and it may also be worth trying Safari just for your downloads/updates.
Good luck.