In reply to snoop6060: I've been to both so hopefully can help you!
You wouldn't need a car for Kalymnos, if you stay in Missouri you could walk to enough climbing to last a couple of weeks, if you want to try other places you can hire a scooter (around 12Euros per day) to get there.
The food in Kaly from supermarkets is expensive, £2.20 for a small jar of pasta sauce! You could get a decent meal out for around 7Euros- a bit more than the £2 in Krabi!
With regards to price, two weeks in Kaly in June cost me about £550: £220 for flights, £120 accomodation and the rest on food (I don't drink so I spent quite a lot less than my mates). So I think there wouldn't be much difference in price between Kaly and Krabi.
Tha climbing is fantastic in both places. But I think I'd say if you want a hard core climbing hol go to Kalymnos as there's not much else to do there other than climb and lounge around on the beach. Where as if you want a 'proper' holiday head to Krabi as there's loads to do.
Don't forget about jet lag and travel time- that might sway your decision.