I believe it is true that black plastic or planting fabric becomes a problem later in the season unless there is irrigation under it.

I wouldn't buy plastic just for this purpose, especially since so much clear gets thrown away from job sites. I would buy the heavy-duty black planting fabric which can be re-used for many years.

During the Master Gardener class we had a horticulturist in for the vegetable growing class who touted the benefits of plastic, black, clear, red, silver, for growing vegetables commercially. When asked if the plastic provided more benefit then organic matter he had no answer, but in my experience soils with adequate amounts of organic matter warm as fast as soils covered with plastic.
However, soil warming also depends on how much moisture is in that soil, and covering a too wet soil with plastic will simply trap that moisture which will slow soil warming.