Sorry it took so long to respond - I just now saw your post!
I got tons of quotes for single container, shared container, and RORO. My final decision was to ship Bmore to Liverpool, with pickup from my DC area residence, through TGAL. Cost, including 20k insurance with a $250 deductible, was 1800. I have to pay 100 pounds cash to pickup in Liverpool (note: my husband is covered by SOFA, so we have some benefits wrt customs and whatnot I think). It was explained to me that RORO is not open air like containers on top of the ship, but rather like a car ferry where they are loaded inside (not exposed to salt air, yada yada yada). For a container to Liverpool (unshared) it was like 2800 I think through TGAL - drop off in Bayonne and pick up from Liverpool. I got a couple of cheaper quotes to pick up in Southhampton, both RORO and container, but since I am in Harrogate, I didn't want to drive the distance (the cost difference would have been eaten up with gas alone!)
I got a shared container quote from Schumacher for around 1k, I believe, dropping off in Bayonne (I think, I can't remember well) and picking up at Thamesport. They couldn't get my car to Liverpool, though.
I got a quote from Reindeer Auto Shipping of like 4500 for door to door shipping RORO. They were too expensive, comparatively speaking.
Hope that helps... feel free to PM me; if you do I'll try harder to find those exact quotes.