CROSS-PLY TYRES???

[Oletimer]

Howdy all,
In planning for my forthcoming Thailand trip, I have been giving consideration to the possible use of Cross-ply tyres.
The reasoning behind this train of thought is this:
I will be amassing a great number of road miles so high milage capability is a must.
My intention is to see as much of the scenery as is possible whilst traversing each country, therefore speed is not of the essence.
The bike will be fairly heavily loaded therefore a more sedate riding style will be required, consequently, I will have no need for the tyres to be so 'rounded' in profile.
(I have a mental picture of a tyre something similar to a car tyre in profile, perhaps not so 'square' on the shoulders)
Does anyone know of any tyres that might fit this situation. I read on an American site that cross-ply tyres are favourite with long distance tourers because they tended to prefer high milage straight line tyres than a tyre for 'getting the knee down'
If anyone has any comment or suggestions or perhaps knows of a supplier, I'd appreciate it.
Cheers George (Oletimer)