I don't see anybody cracking the seal on a $350 life support system that is designed to take huge amounts of water pressure just to satisfy our curiosity. Knowing the chip set info does not mean you have any info on how the data produced is sent. You would need a schematic for the RF circuitry to determine that. Judging from one paper I looked at on transmitting RF in the 30+ KHZ region it took 10 watts of power to penetrate 100ft of water. Whatever is inside the AI is not low powered, I suspect it's probably at least a 1 Watt device but the battery lasts because the duty cycle is very low as it just pings the data out every 5 seconds and then goes dormant.
I would assume a broke one would be what you want to look for, that's what forums like this are for, I have read posts from people who flooded theirs, it is not uncommon so I assume it is likely this thread may reveal a donor.
You said "Knowing the chip set info does not mean you have any info on how the data produced is sent." You don't need to know how the data is being sent, that is some high level stuff. You just need a device (chip) that will communicate with it, knowing the chipset used for transmitting will allow you to get the matching chip to read it, this is simple stuff and you are approaching it in a complex manner that even experienced RF engineers would have difficulty with.
You also said "You would need a schematic for the RF circuitry to determine that." Again, you don't need to know this and there isn't any "RF circuitry", there is a chip in there that gets info through it's serial port (or other com port i.e. I2C) and broadcasts it, its one device (chip) and you don't need to be concerned with what happens inside.
What can pose a challenge is determining modes and establishing communication. The chip you buy to communicate with this may or may not have a number of settings; think of a family band radio, channel 3 station 14 sort of thing. You can write a script on your Arduino that will change the channels over time and listen, if it hears anything, the program can report channels that received data. Since the data is sent every 5 seconds, it may take a while to find but likely not so long it makes the project unworkable.
Another challenge could be parsing the data but I would bet money that the data package is very simple and does not contain any encryption, Something like; (Start) Transmitter serial # -> Battery Level -> Pressure reading (will need to be spanned) -> Transmitter Serial # (End)
You are talking about end to end digital data transmission, not FM analog transmission, You cant "listen" to this data and figure it out. You only need to be concerned with serial outputs of the transmitter/receiver chips, you are looking in the RF part of it and that won't get you anywhere.
Think of 2.4GHz , same as WiFi routers have been around for a while now, Same as the portable house phone you use, same as my kids RC toys, same as the nRF2401A example I sent. If you had a device and knew it was 2.4GHz, how would you read that signal and determine anything from it? You couldn't, 2.4GHz is too ambiguous. once you know the chip, like the nRF2401A example, you can buy the matching chip and they will talk to each other because they use the same frequency and are designed to talk to each other, they wont talk to your portable phone or RC toys because the data, although on the same 2.4GHz freq, is still not in the same language.
I'm not trying to step on your toes, I want to help and think this is interesting. I have built chip level transmitters/receiver devices, design and integrate electrical systems and get contracted to find flaws in existing non or limited functioning equipment. I understand pretty well how to accomplish what you are trying to do.
It may be possible for a talented RF engineer to do what you want with the approach you are suggesting but it would involve serious RF knowledge and the end result is they would figure it out what chips are being used and then tell you to buy the matching chip since no frequency analyzer is going to turn a signal into serial port data which is what you need.