I made my own version of a bundle claimer, you'll need Tampermonkey. Tested in Firefox.
Download it here (click on the Raw button and install the userscript), then head over to the bundle page and you'll see a Claim all button. It will automatically go through all items and click on each Download link, it does it for all pages and informs you when it's done. There's a configurable wait time before following any links (see the WAIT_FOR_MS constant).