Sorry to hear that.
The HDMI support is custom, so no standard adapter will work. I've heard mention of DisplayLink adapters working, but don't know what's involved in setting that up. Maybe you can find someone local to borrow a Planet adapter from?
Any idea if touch still works? If so, you could enable USB debugging by tapping in just the right places.
If all else fails, you could take a full image of the device with SP Flash Tool. Then once your device is repaired/replaced, (after taking the same backup of the new one) restore this to it. Though I believe that would work, best you only restore it temporarily, as I believe it contains device-specific data like the IMEI.