15th south of Constitution is fine to bike in, particularly around the Washington Monument, although it needs some detangling as it gets to the Tidal Basin. (There are some interesting proposals for a new multi-use path between the Monument and the Basin as part of the Trust for the Mall's
design competition for the Sylvan Theater area.) Extending the facility south to the Mall would tie it into the existing paths/sharrows there.
After too many close calls on that stretch of 15th, I usually weasel around and take the Ellipse roads these days. The
forthcoming redesign of President's Park will move the guardhouse further from 15th and apparently reopen E Street to open pedestrian access, and kind of open the Ellipse road for what would be contraflow (northbound) cyclists.
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