Help talk me out of asking auntie for a full tang biltong...
To help talk you out of it:
The normal Bilton's have a full length tang, but they are "hidden" within the handle portion and peened over at the butt plate. These normal Biltons should be more than strong enough, especially for their length (no major leverage encountered when using them, for example).
Some Biltons (along with most of those antique khuks) are "partial tang", with no butt plate. These should be plenty strong, especially considering what those antique khukuris were put through during wartime.
What I think you are talking about is the "chiruwa" style handle, with exposed steel along the full length of the handle (top and bottom). In wintertime, that exposed steel is colder to hold. Also, you'll have to take more care that the handle doesn't rust. More shock is said to be transmitted to the hand with a chiruwa handle, compared to the normal HI full length tang.
A chiruwa Bilton would probably have to be a special order, costing you more money than the normal Bilton.
To answer your question "am I crazy?", I say no, you are not crazy. If that's what you want, especially after considering these factors, then special order one and please post a review!