I've tried the tape before and once it rains it's not too sticky.

I didn't do too well with the carrots last year and it was all my fault, planted them where they only got about 3 hours of direct sunlight.

Root cellar, now we're talking, it's a dream of mine.
We've been saving for a tractor for the past 4 years and next spring we may just spring for one. If we do get the tractor, a root cellar may be in the cards.