Agreed value is good and I realize people concentrate more on physical damage part of the coverage but please don't minimize the need for a high liability limit, especially today. And please make completely certain your umbrella policy insurer knows anything they want to know about your vehicle. The reason I say make completely certain of this is because if anything comes as a surprise to them after a loss they have the ability to reserve rights (which won't be good for you as it means they could deny coverage). You do have an umbrella policy, yes? Please tell me you do. It is cheap and it is a very smart purchase.
Losing a hobby vehicle in a wreck is a bad thing, getting paid what you and the company agreed it is worth is a good thing. Getting sued in a court of law anywhere in any state without enough liability limits for a wreck you caused is a terrible thing which could financially wipe you and your family out. I was on one side of this equation for 40 years and my honest advice is you can never have too much liability insurance. Even a first year law student who is currently about to fail out of class can paint a picture of a vintage vehicle as a dangerous, outdated, uncontrollable, unstoppable thing when addressing a jury. And some jury awards for auto losses have been unbelievable...a pedestrian in Texas was awarded over $350,000,000 after he was struck by a van. Tort reform laws have mitigated some of these awards, but there are unfortunately still ways to sidestep them. Most states in the USA are or already have done away with annual safety inspections. Some believe that really isn't a good thing nor an intelligent thing.
My advice? Find a professional agent and work honestly with that person. That agent will carry professional liability (Insurance Agent's Errors and Omissions) coverage and he or she will work hard for both of you to make certain all your risks and insurance needs are addressed.