Most certainly there is. State your assumptions up front (like the assumption that the various necessary atoms would be in the same area at the same time--a reasonable enough assumption), then figure out the odds of each necessary molecule for the basic building blocks (e.g., each amino acid) coming together individually. Multiply those odds together. Then figure out the odds of each of those building blocks coming together in just the right way to add up to a living cell.
The fact is that any number of scientists have run their own calculations on the odds, and as it turns out, 1 in 10^300 is on the low side.
So please, since you don't like the odds IDers calculate, come up with your own.
State your assumptions up front... Or just make some wild-a**ed guesses and state them up front. Matter of fact, since you have no way of knowing how accurate your assumptions are, that's all you really start out with - wild-a**ed guesses, which are why all those sorts of calculations are absolutely worthless.