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I just checked the same thing only I am a bit older and have a multi car discount and a bunch of other insurance you may not have. I found that the old cars are much more cost effective because you don't drive them much and the insurance is only a few hundred a year for full coverage but that is only driving it a few thousand miles a year. State Farm is who I use.
Your question is almost impossible for anyone here to answer since there are so many variables involved in determining an auto insurance premium such as: your age, the make, model and year of the car, your driving record, where you live, the phase of the moon on the day you pay your first premium, etc. One thing that you can be sure of is that it will be HIGH since you are under 25 years old. That's one of the few advantages of being a geezer!
When I was 22 it was around $60 a month. Now that was with multiple car discount, good student discount, and the fact that it was only used occassionally (not a daily driver). This was through American Family. If your agent is giving you the run around, get direct with them by either clarifying your intentions, or threatening to go somewhere else.
I doubt you can get collector insurance because of your age. Also with collector insurance you need to show proof of a different car you own that is used as a daily driver. So that, unfortunately leaves you in a pickle that is not how much it will cost, but who will write a policy.