I think the application circuit might be a comment on your choice of reference rather than needed accuracy. The Ref03 is specified as 10ppm/'C typ, 50ppm/'C max.
Assuming that you have a typical one then according to Alex's calculation then that is your entire drift budget right there, before you even start adding in the TC of the divider resistors.
Unfortunately there is no way to guarantee that standard metal film resistors, even from the same manufacturer will drift the same way, even between individual resistors from the same batch. That's why their specified +/-50ppm/'C and they don't provide a tracking spec. Low TC 0.1% resistors aren't very expensive, why compromise this early on.
As Alex says, you need to keep your trimming range to an absolute minimum, trimmers don't do well at all for TC.
The venerable old Nat Semi (Now TI) AN184 'References for A/D Converters' is an excellent resource for understanding error budgets and compromises, eg using higher spec reference and lower spec resistors and vice-versa. Maybe you could try a low cost buried zener reference like the REF102C...
http://www.ti.com/lit/an/snva510b/snva510b.pdf