If there's a problem with downloading the installers, it's more likely to be caused by your antivirus than your web browser.
(As an aside, Chrome and Edge are web browsers, not a search engines. Google and Bing are examples of search engines.)
Have you checked the digital signature on the installer you've downloaded? That will tell you if the file has been downloaded correctly or not. "How to check for a corrupted installer or main program"
If the download is OK, antivirus could still cause it to fail if it blocks the installer from working normally for some reason.
The same is true of the Windows account problem, which is usually solved by installing from a fresh Windows account. Did you definitely follow all the steps for that and try that?