There really is not harm in attempting to solder to the bottom pads of the device. It will not brick your Echo though you wont be able to read the boot logs from UART if you screw up really badly.
How do you know this?
Have you physically looked at the connections or locations where the soldering should occur? Are you positive that there are "Bottom Pads" to solder to?
Are you familiar with different types of soldering irons and their specific applications? If someone uses the incorrect soldering iron for this application they could destroy something.
Are you familiar with the different types of solder, solder sizes, ratio contents and fluxes?
Are you familiar with ESD and the damage that ESD can cause to sensitive semi-conductor components?
Yea, not knowing what you are doing, or even thinking that you know what you are doing can "Brick" your Echo if you try this operation.
I do not advise anyone to try this, except other than the OP because it is their idea, I suggest the OP use their own Echo....