Just add the original URL into the specified field and copy paste it each time you need to access said website.

KeePass is the best at what it does and stays local as any password manager should do. If you need more security & portability encrypt the DB with VeraCrypt, sync with whatever service you trust.

Just a note that URL is the one field in Keepass where you may not need to copy/paste. As long as your default browser setting is set to the browser you want to use for the URL double-clicking on the URL in Keepass opens it in said browser.