I've Done the re-wrap before with awesome results, I've also had some real problems as well... The best re-wrapping process that has worked for me goes like this
1 leave the original bandage on for a few hours
(at least long enough to allow for the thing to bleed out!)
2 wash it with a bar soap and water that is as hot as you can take comfortably
3 let the tattoo air out
4 before you go to sleep rebandage with enough dri-loc pads to cover
5 when you wake up clean the thing real well, same as before ( slimy = not clean)
6 keep it clean and only apply a basic lotion when it's dry
Seems like the first 24 hours are the most important, you're body is gonna do the work.
Saran wrap seems too sketchy to me at this point, so if re-wrapping is gonna be in the equation, I'd give this a shot and wouldnt mess with it too much.
Just eat well and leave it alone.