Nice looking C-27! I'm guessing she is a post 1986? While you are on the hard is a good time to go after the gelcoat and do a nice compounding to get it to a like new shine. A deWalt variable speed buffer is worth the investment, about $179 on amazon.
I'm not trying to take away from what others have suggested about the yard doing the shaft log repair... definitely a plus on your time and making sure the alignment is correct. I'm just saying don't be afraid to DIY if you have the tools and skills, just be very careful to preserve the shaft log alignment. I would assess what the yard will charge and what you are being charge for storage on the hard. If yard time is cheap, I'd do it myself. If yard time is expensive, I'd pay them to do it and get her back in the water asap.
While you are dry, check the hull for condition of bottom paint and evidence of blisters. If you need new bottom paint anyway (and yard time is cheap) I would get the bottom blasted or sand it clean to the gelcoat and let her dry out for awhile. If any blisters are evidenet, grind 'em and epoxy filler/patch them, then give the bottom a new barrier coat, 3 gallons of Interlux Interprotect 2000E. After sanding clean, but before the barrier coat, check the hull/keel joint and condition of keel bolts & Keel stub. Depending on your year of C-27, you might want to check if they were still using plywood as the core material in the stub. Other C-27 owners dropped the keel, dug out the rotten wood and replaced it with layers of G10 sheet plus epoxy, reinforced the stub with a few layers of glass/epoxy, then re-drilled the keel bolt holes. If you find there are no leaks from the keel bolts and the stub wood is not rotted, best thing is to over-drill the holes one size and fill with epoxy to seal them, then re-drill to original size.
LOL... I don't mean to scare you, but these are things worth checking. If yard storage is cheap, do it now and it will increase your resale value when want a bigger boat down the road! (and you will.... haha)