Two farangs or one Thai? If two farangs it is difficult to get a Trailing Spouse Visa in SE Asia but it could be possible from your Thai Embassy in your home country before travelling.
You can apply for a Non-O as soon as your funds are seasoned which they already may be the day you arrive if you already have a Thai bank account. Not everyone arrives in Thailand without a bank account so they don't have to wait for the seasoning which can occur before you arrive in Thailand.