Hi Warlock
Just a little tip to widen your search... if you buy one that's light to carry and doesn't have wheels, you can buy one of those folding luggage trolleys. They're quite inexpensive, fold away flat and you can put the couch on there, using the elastic bungees that come with it,to carry the couch pretty much anywhere.
Anyway, you can buy a beauticians' couch through Sallys for about £120, which is very light weight, has a face hole, adjustable height legsand a back that raises, but no wheels. If you want a really good one, though,look at Darley, but you'll be paying more. Costco sell a really good one (but the back doesn't raise) which comes in a case with wheels. It's lovely, but much bulkier than a beauticians' couch, as it's wider and has thicker padding. You can buy arm extensions and a face extension for the Sally one... I think it's made by Mercia...
I wouldn't go for one with a shoulder strap, unless you're very tall and strong, they're a bit uncomfortable for any distance.
There's another thread on HP somewhere talking all about couchs, so try "Search All Forums" and you'll find loads of advice.
Good luck!