Always. Buy. Wings.
Buy them as cheaply as you can, as far out as you like, but buy them. Buy then even if you think the expectation on the individual Far-OTM options is negative (it probaby is but buy anyway).
The point of buying wings is to protect against tail risk... at the cost of giving up some edge. You are on the right track, you just need to avoid blowing out your account and having to start over. Accept a slower path to your first $billion for greater chance of actually getting there.
Price that TIF straddle if the move had been 50% or even 75% instead of 25% to see what the actual damage could have been. You don't have enough in your account to diversify into 200 simultaneous uncorrelated short straddles (and earnings straddles are more correlated than they appear) so you can either buy the wings, trade only the long straddles, or trade so small you risk very little on each straddle.
Also, as an added bonus, if your risk controls are based on "shocking" (usually 15% against you on underlying), your buying power will go way up when you buy the wings.