Very small sample size, but I haven't noticed anything bad about the ones (or, parts,) that went straight into the freezer.
I wasn't sure how rigor mortis works in poultry and wondered if we might be applying rules that are really meant for other meats, so I went looking...
http://www.aps.uoguelph.ca/~swatland/ch5_1.htm says
Quote:
(4) Freezing of meat before the completion of rigor causes extreme shortening when meat is thawed (thaw shortening), because ice crystals have slashed open the sarcoplasmic reticulum allowing massive contraction once the system is warm enough to respond.
To avoid cold shortening, meat must not reach 10oC within 10 hours post mortem in lamb carcasses. Beef sides should not be exposed to air below 5oC or faster than 1 metre / second within 24 hours after slaughter. Although thaw shortening causes extreme toughness in beef, the situation is different in poultry. Poultry meat toughness reaches its maximum level as recently slaughtered carcasses are washed, but the meat becomes more tender as carcasses are chilled. Maximum tenderness is reached after blast-freezing and thawing.
So, there's a vote for freezing poultry immediately.
If you are shrink wrapping you may have trouble with the ice chest approach unless you're careful to keep it drained. (You poke a hole in the bag to let the air out as it shrinks. You don't want water getting back in via that hole during chilling/resting.
-Wendy