Sorry don't have one to lend.
But you have to cycle there, it's amazing!
I recently hired a bag from Pedal Power in West Calder for a trip to the Pyrennes - £5 / day for a semi-rigid bag with inflatable bladders to protect the frame. worked perfectly. I think Edinburgh Bikes also hire rigid bike boxes from the small shop in Canonmills. Be warned that they are all large and will take up most of the space in a hire car!
For my last two trips to Mallorca I've hired a bike in Puerto Pollenca. First time a Kuota carbon from Miquel at Pollenca Cycling, then a Van Nicolas Astraeus Ti with Di2 from Procycle Hire. Both bikes were excellent, really well maintained and I didn't have any mechanical problems, not even a puncture. There is also a new shop just opened by Phil Axe who I've ridden with a few times which has the latest Pinarellos if you like the bling!
If you want somebody to ride with, a group of expats & locals leave Tolo's restaurant in Puerto Pollenca every morning at 8.30 or 9.30am depending upon the season. They are very sociable and usually very happy to guide visitors around. Tolo's is worth a visit anyway for the broken eggs & chips and to see Brad's TdF bike and all his jerseys.
PM me if you want some route suggestions. I can even lend you the local cycling map.
Cheers, Mark
https://www.pollensacycling.com/index.php
https://www.procyclehire.com/
http://www.mallorcabikehire.com/