The risk of ruin approximate formula is
RoR = e^(-2BW/V)
where
B = bankroll
W = win rate $ (a function of the win probability of 57% and prize structure)
V = variance of win rate $ [(std dev)^2]
For a 97 + 3 total buy in (3% fee, wow) and a 57% win probability your ROI is 10.58%. Your standard deviation calculates to 120.34.
Here are the results for 100 tournaments and 1000 tournaments
Bankroll. | RoR-100 | RoR-1000 |
1 | 84.8% | 86.4% |
5 | 42.5% | 48.2% |
10 | 16.4% | 23.2% |
25 | 0.5% | 2.6% |
50 | 0% | 0.1% |
75 | 0% | 0% |
100 | 0% | 0% |