Random thoughts.....
Absent specific problems the first service is primarily engine oil, filter and final drive fluids, fondle her bits and let the mother ship's computer enjoy a secret handshake..
That said, some owners have the transmission fluid replaced as well, but it's pricey and not called for. There are any number of computer upgrades that may be downloaded depending on when your bike was built and they reset the next service warning. When considering all this and just my opinion, but I certainly wouldn't leave her parked for that length of time especially in prime riding weather. The break in service mileage isn't etched in stone so if you are only going to ride her a few hundred miles until the shop will see you you could continue to check the oil level is OK and just ride her. I personally would pick up a BMW oil change kit from the dealer and take the few minutes to change filter and fluids in the engine and final drive and snap a few photos of your work and keep the receipt if any future question arrises that a change wasn't made. I would not jump the gun on loading a tune. Bren recommended doing things after the first service for good reason and I would just enjoy stretching her legs more and getting to know her rather than possibly throwing away an early tune and paying more for such a short period of time (but I am a cheap, I mean frugal individual). Check her over like you should be doing already and just enjoy her. The Bren is great, but mine started and ran very well from the get go and was noticeably happier after the miles were added in reduced vibes, better sound and I used more and more of her RPM range too. The Bren will add to that, but you will also see noticeable "good stuff " as is.
Good luck and for the record, your shop is screwing the pooch as this is a very quick and easy service and regardless being their busy time of year they should be able to squeeze you in before that long a time. I guess a rider with a tire puncture or bad battery that gets towed in would have to wait months as well? I've had BMW, Harley and Honda dealers offer to help me on "off brands" while traveling so I would expect my own shop to give me the time of day and reasonable service after spending thousands of $$$ with them.