I can't think of anything that would clamp to your drill well, without at least some modification. If you have the tools/ability to do some customization yourself, I'm wondering if another Milwaukee handle (like the one shown below) might be able to be ground down to make it grab across the top two clutch housing screws that each protrude out from the housing. I don't think the clamp handle structure has enough meat to reach and also grab the bottom clutch housing screws, but if it can that would make the mount stronger. It would require some reshaping and modification of the stock handle mount, but it shouldn't require any modifications to the drill itself. That's the only solution I can think of that might be relatively easy to make, that would be easily removable, and also easily switched to either side of the drill as needed. I'm not sure you would be able to get the handle mount out of the way of that black top switch (speed selector?) on your drill though. It could also create a situation where the top of your drill frame might break easily if the drill was ever dropped with the handle mounted on it. If you can make the clamp grab anything other than just the top two clutch screws that would reduce the chance of drop breakage.
My second image roughly shows the modification to the handle I was thinking might work.
If you don't want to do any modifications at all, there's a chance the stock handle notches (on the handle I linked to) might work to pinch and grab your top two clutch housing screws as-is, but if it did work that would place the handle an inch or two up above the top of your drill which might get in the way while using the drill.