Pics on google for ES125 show something similar to PBG ES-5V which has single neck PUP and no cutaways and then other pics which look similar to PBG ES-2V which to me looks a close match to ES175. A case for ES335 might work too.

On prior build threads going way back someone mentioned that large bodied acoustic guitar cases are the go for these babies. You may need to take the kit into a guitar shop to what it fits into. Had to do the same on my EX-5 before realising no hard cases available in OZ that were big enough so ended up with a gig bag from Amazon that came from USA.