Biggest problem, Alf, is that the longest router bits don't give you much more than 2 inches.... yes, I know that you can get special long bits, but they cost a heck of a lot and my experience is that they are remarkably prone to bending (and breaking). It is also certainly a lot easier to rout around the outside of a circle than the inside, even with a pin router.
If you laminate up tubes from 3GL birch plywood they are remarkably strong at 3 to 5 layers. The technique I quoted is in effect the manual version of the veneer bag lamination I use for some of the stuff I make, so I know from experience that it should work, although I "tack weld" laminations to each other with a wood welder (RF glue curer) these days for speed. As ever choosing the correct glue and leaving it to cure long enough is essential, as is covering the form with a release compound (e.g. waxed paper) - sorry, forgot to mention that.
Scrit