Follow up:
Well, I hooked up an attiny, put the 433 on an interrupt, blah blah blah.... End Game: ALL of you are right!!!
This buzzer is no where near loud enough!! From what I learned "sound" drops by 6db as distance doubles. This does seem very accurate as when the buzzer was facing up, I tested at 5/10/20 meters off/on and the sound became very unnoticeable at 20 meters in a forest enviroment. When the buzzer was down (covered by the frisbie), 5 meters wasn't even as loud as 20 meters with the buzzer up... it's bad.
I tried various buzzers and unless you get a 'big' one (in relation to the frisbie), it just won't be lound enough. Then there's the 5v problem for the bigger/louder ones.
Range wasn't great either. At 3.3v, even with a 1/4 antenna, 10 meters seemed to be the limit in "brush" (although I'm a noob so mileage may vary).
Also I learned that water plays tricks on you. When it landed in a creek on one instance, it sounded like it was somewhere it wasn't, but when I physically moved the location seemed to move as well. Luckily I saw where it went in the creek.
Also, power consumption wasn't great either. As a no-nothing in electronics, I put the 3.3v from the battery directly to mosfet (to power the buzzer) with only a 10k resistor pulling it down and the attiny directly connected to the mosfet. At idle, it was pulling ~10ma (during buzzing 130ma... but that didn't matter so much). MOSFET, resistor, buzzer, radio, attiny and coin cell battery... those were all I used (using through hole components, the disc was starting to get heavy). Something about how I connected that mosfet added 7ma, as just the tiny in sleep mode together with the raido only drew 3ma on their own.
I know it's very, very obvious, but you would want these components embedded into the disc, but not really for the reason I first thought. The absolute worse abuse the components suffered was when it hit the "hole". The hole is just a chain lantern that catchs the disc, but depending how the disc hits the hole, the bottom of the disc can rub against the chain. This is something I never noticed before, but it's very concerning hearing the chain rub against the components!!!