I'm local to DC, so, let me know. I'm in Cape Cod right now, driving back on Saturday the 3rd, might be able to climb on the 4th. The other days... I dunno as I'll have some work to catch up on. Traffic in DC is a nightmare. So, if you think you might be able to sneak in something in the early evening during the work week, think again, the exits for Great Falls and Carderock are actually quite close (those two destinations are in fact more or less across the river from each other), and there's a lot of congestion due to American Legion bridge. Because, OMG, it's a bridge and everyone must freak out about it, followed by, O-M-G a curve in the road ahead, let's all freak out some more and barely idle through this. If you plan on climbing during the work week, you'd want to plan your day trip to be like 10am to 3pm and don't be there for too much longer unless you like bumper-to-bumper for miles and hours on end.
These routes are short, at least the ones I have been on. One thing about Carderock is that the anchors are a little far back compared to Great Falls. Seems to be a leeward vs windward type thing. But, don't be surprised if the anchor is 20' back at Carderock and at Great Falls it could be like three feet. There is also a chimney at Carderock.
As for your rope, for sure, 35M will do most at Carderock for TR, I assume you'll have webbing or the like for the master point.
As for getting there, I'd look into an Uber/Lyft. That bus thing sounds a little sketchy to me, maybe someone recent has tried that method? I don't recall exactly, but, it might be a bit of a hike from the Carderock Naval Facility to the routes. Like, hike, rest up a bit, and then climb, rest up a bit, and then hike back to... which bus stop?