Hello RogerL
Just to reemphasise Rob-jax point about car GPS systems, In my area there has been a lot of new road building, which has not yet been include on the common mapping platforms (i.e. Tom Tom, Medion etc).
When travelling on some of these unmapped roads the car Satnav seems to read my position, then tries to display me on a road that runs close by. I have tried to establish how far this 'snapping' effect tries to correct for positioning errors, and so far its typically 30meters but at worst its nearly 300 meters! then it gives up and shows me moving over virgin space. For that reason alone they are not suitable for hiking.
It's worth adding that when you are on a mapped road the positional accuracy can be much better - given enough satellites to lock onto it will be at best 3 meters but more typically 10 to 20 meters
I don't know of any dedicated car Satnav that allows you to enter OS grid references, But as Rob says the Garmin Etrex range certainly will, but they wont do the same job as a car Satnav and give you turn by turn directions.
Microsoft auto route and some of the other PC based systems will allow OS grids and Lat & Long entries, but, you have to know which meridian reference scheme the system uses for its data - The UK along with most other nations have their own specific Lat & Long references, and the differences between the schemes are sufficiently large to give some positional differences.
Currently all the Satnav systems use the American GPS satellites, which give data based on the American Grid, The Etrex systems allow you to compensate for these different grids, and it can recalculate for the UK OS coordinates. It also offers several other compensation schemes for other parts of the Globe. The point being, My Medion car GPS can produce Lat & Long reading, but if you trace it onto an OS map, there can be a significant positional error (I tied last year on our canal holiday and it placed me several meters of to the side of the canal!. By comparison, my Etrex compensated for the OS grid references produced results that were very accurate, almost identifying which side of the canal I was on!
I do not know of a consumer Satnav system that performs both Street navigation suitable for cars, and as a trekking/hiking aid. It's horses for courses I'm afraid.