been there, done that ...........
currently using a tbird 1GHz with a GC68 / arctic silver 3, epox 8k3a+ motherboard
according to speedfan, case temp. = 32 (with 1 antec case fan blowing out, 1 panaflo L1A blowing in/cooling the hard-drive), and an antec smartpower 330 PSU with a 92mm sucking air in, and a panadlo L1A (my mod). exhausting air out.
* vantex stealth 80mm (max. temps. under load = 44 C, steady state temp= 40) 2100 rpm
* also tried a panaflo L1A (very slightly quieter, ..steady state load 42) 2000 rpm
* stock fan, 37 - 39 steady state, but quite a bit noisier, although not as loud as stock - 2500 rpm approx
* also tried a variable speed fan (max. temp under load, 39 C, steady state max = 37 C) - 3000 - 3500 rpm, ..... and much cooler if i turned up the rpm to unreasonable levels.
* stock athlon 60mm cooler, 42 C (steady state) - 5000 - 6000 rpm -(though i'm not sure about the rpm)
keep in mind that you can't compare a 1.3GHz T-bird to a 2000XP, ... the XP's are different core and in general generate less heat than the faster T-birds (the 1.3 GHz was especially guilty in this regard)
To answer your question, i think you can use the T-bird with a GC68, but only with the stock fan or a faster variable speed fan (suggested), ...in either case, the gc68 is better than the stock cooler
regards