For 6' I would wait for the 23.5" version. I am 6'2" and have 3 Raleighs of the 24.5" size.
If you are fairly flexible and ok with more saddle to bar drop you could make it work but as this is your first road bike you may find it uncomfortable.
Are your numbers for a modern sloping top tube bike or for a vintage horizontal top tube? Horizontal top tubes usually add a bit to the seat tube measurement that you want.