Could you link me to the right angle cable you have?

The one I bought is the Monoprice 90 degree Lightning Cable.

I bought the Monoprice over others available on Amazon for a few reasons. Primarily, I trust the Monoprice brand over other no-name Chinese brands and the Monoprice cables are all MFi-certified (aka Apple's 'Made for iPhone' program). Also, all the right angle cables I found on Amazon were either 4- or 6-feet long, whereas the Monoprice is available in 1.5 foot length, which works better for this application. (6 inches would def be too short, imo)

EDIT: Looks like the Monoprice cable is also available on Amazon, but for a higher price (even after taking shipping costs into account)