I've worked _a lot_ (and still do) with the nRF51822 chips.. They're awesome little devices, and not too bad on the wallet either.
What you want to do is actually part of a standard BLE "profile", called "alert".
The SDK for the nRF actually contains a working implementation of what you want to do, straight out of the box. (Well, it blinks a LED instead of beep, but close enough).
Prototyping is dead simple, using the QFN form-factor. The example circuits in the data-sheets work out of the box.
If you're careful with the software, you can get a BLE beacon/alert down to about 11uA average consumption (peaks of about 10mA when broadcasting), so a AAA battery will last a senior citizen the rest of their natural life.
A traditional CR2032 should last you about 2 years.
However, as miguelvp pointed out. RF tuning and getting maximum range out of these things is a task best left to proper RF people. You get pretty far by using the PCB antenna from the data-sheet, but its not something I'd run through a certification process without having it looked at/analyzed by and RF guy.
Also, you're dealing with RF and BlueTooth, so if you want to sell a product, you need to pay up about $5K (if I recall correctly) to register with the BT SIG, and you'll need to get FCC certification for the US market.
Then again, you'll need to do that for all RF products, not only Nordics stuff.