I don't know of any hammock tarps that will allow connecting the poles to the tarp directly. There are quite a few light winter tarp options, though.
Hammock Gear has 2 Cuben fiber tarps with doors specifically for hammocks.
Hyperlight Mountain Gear,
Mountain Laurel Designs and
BearPaw Wilderness Designs all have Cuben tarps, too, although no hammock tarps with doors. Some of their tarps might work for hammocks, though. Or, as octothorpesarus said, just shoot them an e-mail and ask if they can do alterations.
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