All crops will not produce correctly if the soil is too lose and wet, fungus and rot will take place on the fruit and the root without a 8 hour dry cycle time. The only crops that will survive in the environment you are concerned about are root vegetables
Taproot (some types may incorporate substantial hypocotyl tissue)
Arracacia xanthorrhiza (arracacha)
Abelmoschus moschatus (bush carrot)
Beta vulgaris (beet and mangelwurzel)
Brassica spp. (rutabaga and turnip)
Bunium persicum (black cumin)
Burdock (Arctium, family Asteraceae)
Carrot (Daucus carota subsp. sativus)
Celeriac - (Apium graveolens rapaceum)
Daikon - the large East Asian white radish (Raphanus sativus var. longipinnatus)
Dandelion - (Taraxacum) spp.
Lepidium meyenii (maca)
Microseris scapigera (yam daisy)
Pachyrhizus spp. (jicama and ahipa)
Parsnip (Pastinaca sativa)
Petroselinum spp. (parsley root)
Radish - (Raphanus sativus)
Scorzonera hispanica (black salsify)
Sium sisarum (skirret)
Tragopogon spp. (salsify)
Vigna lanceolata (bush potato)
Tuberous root
Amorphophallus galbra (Yellow lily yam)
Conopodium majus (pignut or earthnut)
Dioscorea polystachya (nagaimo, Chinese yam, Korean yam, mountain yam)
Hornstedtia scottiana (Native ginger)
Ipomoea batatas (sweet potato)
Ipomoea costata (desert yam)
Manihot esculenta (cassava or yuca or manioc)
Mirabilis extensa (mauka or chago)
Psoralea esculenta (breadroot, tipsin, or prairie turnip)
Smallanthus sonchifolius (yacón)
Rhizome
Curcuma longa (turmeric)
Panax ginseng (ginseng)
Arthropodium spp. (rengarenga, vanilla lily, and others)
Canna spp. (canna)
Cordyline fruticosa (ti)
Maranta arundinacea (arrowroot)
Nelumbo nucifera (lotus root)
Typha spp. (cattail or bulrush)
Zingiber officinale (ginger, galangal)
Tuber
Apios americana (hog potato or groundnut)
Cyperus esculentus (tigernut or chufa)
Dioscorea spp. (yams, ube)
Helianthus tuberosus (Jerusalem artichoke or sunchoke)
Hemerocallis spp. (daylily)
Lathyrus tuberosus (earthnut pea)
Oxalis tuberosa (oca or New Zealand yam)
Plectranthus edulis and P. esculentus (kembili, dazo, and others)
Solanum tuberosum (potato)
Stachys affinis (Chinese artichoke or crosne)
Tropaeolum tuberosum (mashua or añu)
Ullucus tuberosus (ulluco)