As long as your contact points are in the same position, that should work. However, if it was me, I'd have the same geometry on both my training bike and my race bike. I don't really see the point in having to adapt each time you switch bikes.

For a Crit bike, I'd maybe raise the BB a tad and recommend a stiffer overall bike with less emphasis on comfort (ie: recommend Al or Sc over Steel or Ti), but that's about it. Actually, I would recommend steel but go for a beefy oversize tube selection and don't give a crap about weight.

A sweet steel frame and matching steel forks, and some killer aero wheels like Rolf prima Vigor SL's would make a real nice crit bike.