When I owned my Nautique I had a bungee line. The good thing was I clipped it to the rear lifting ring one day, threw my anchor and bungee overboard, and watched them sink into the abyss. *shrugs* Never missed it, even though I had used it for a couple of years.
The bungees work in calm conditions. With other peoples boats I have watched them almost hit shore from stretching and we had to put their boat back on the trailer quickly.
The good part of the bungee is it allows a soft pull on the anchor as it stretches and doesn't jerk the anchor at all.
My preference at the lake is to bring an old tire around a 31" or so and place it under the bow and drive the boat onto it, then tie off the bow, and two stern lines going out at an angle. Of course that won't work in tidal waters, but works awesome at a lake.
If I need to anchor my Zodiac out for the night I use a pulley setup and a long line to pull it out with a stern line hooked up.
For day time anchoring in the ocean I am typically in a drysuit and scuba diving, so I just swim in wearing my drysuit and fins.