Man you Brits are a weird bunch, mixing Metric and SAE.
As for tire size, yeah, most of them are listed P-metric in the states too. I guess we're a bit weird as well.
There are some good 34" options depending on the wheel (aka rim) diameter. I personally like more side wall, so I always ditch the big wheels from something smaller. As a result I don't know what specific 34" sizes are available in the 20 or 22 inch wheels but I know they exist. Not as plentiful as 35's, but there are options out there.
Yup you understand it correctly. That's the work around I was suggesting.