Howdy Bruce,
As you can probably guess I'm Irish so don't have first hand experience of the NHS physios and was only going on the comments of individuals on here so good to hear you think they're good.
Again I'm not familira with UK health system but seeing a specialist first is a common practice here and I can understand her hesitency sending you if there is an unofficial (or official) rule saying you have to go for 6 sessions first.
Unfortunately this is the negetive side of having a public health system. They want to reduce the numbers going for scans and specialists to keep costs down (which is fair enough). In your case though you'll probably have to see specialist and get scan anyway so rather then costing say 2 physio visits+Specialist+MRI your now going to cost the system 6 visits+Specialist+MRI. If they allowed physio's more clinical decision making power then they'd likely save money but its a Doctor-led system so cant see it happening.
Anyway getting back on topic, the way to incorporate private and NHS would be if you got your MRI scan before the specialist visit you'd bring the report and the scan itself (on a disk) in to him which saves on the couple of weeks (months?) you'd spend waiting on an appointment for an MRI in the public system and then getting back in to see him. However there is a fair cost to this route so NHS is probably best way to go at the moment.
As for research check out link below. It has link to loads of info such as treatment and surgical approaches.
Meniscii - Wheeless' Textbook of Orthopaedics
Hope its helpfull