Life insurance passes directly to the named beneficiary, meaning his wife would get everything. Unless there was anything titled solely in his name when he passed, (e.g., cars, bank accounts, real estate), there wouldn't be a need for a probate.
Under Florida law, the custodian of the will (normally the person named as executor, also called a personal representative - though it could also be a family member) -- must deposit the original will, not a copy, in the office of the Clerk of the Circuit Court within 10 days of receiving information that the person is deceased. The custodian should deposit the will with the Clerk of the Circuit Court in the county where the decedent resided. The custodian must supply the person's date of death or the person's social security number to the Clerk upon deposit of the will, if this information is available. Once filed a will is public record, meaning you could get a copy that way.
If you want to get a court order compelling someone to deposit a will, you have to give that person notice of the hearing and an opportunity to be heard. In the absence of that minimal due process, you order isn’t valid. Therefore, you do have legal remedy if they won't give you a copy in violation of Florida law (the statute, for reference is Section 732.901(2)). That said, let's say you get the will and you are not named, but believe he wanted you to have something, you could sue, but the burden would be on you to prove duress or mental incompetence and what his true intentions were. A will contest is not inexpensive -they easily can run thousands to hundreds of thousands of dollars or more in legal fees. Thus, unless your father had a substantial estate, it may not even be worth it, unfortunately.
I'm sorry I do not have better news for you. If you need clarification or additional information, please REPLY and I'll be happy to assist you further. Thank you.