JR
In 25-06 the difference between Handi and Ultra appears to be only the stock. The Handi is solid wood, no checkering. The Ultra is laminated wood, with checkering on the pistol grip and fore end.
Not sure what the retail price difference is. I think an Ultra stock set is about $85 from the factory, if you buy a handi, then decide you want to change the stocks out.
I have an Ultra Varmint in .223 with laminate stocks and 24" bull barrel, and a .17 HMR which came with the synthetic stock. I'd be interested in knowing what you think of the skeleton stock you're getting...