I suggest your insurance problem is the result of the "Reconstructed Title" your vehicle has and not the type of van it is.
Many insurers will only insure a vehicle with a "Reconstructed Title" for Liability coverage only. You are not going to find any insurer that will give you a "Stated Value or Agreed Value" policy on a vehicle with a "Recon" title do to your vehicles previous Salvage History, current "Recon" title and therefore your vehicles "Diminished Value".
Typically vehicles with a "Recon" title are valued in the used vehicle market anywhere from 30%-50% LESS than a identical make/model vehicle in identical condition and mileage than a vehicle with a GOOD clean title. Like it or not that's just the way the market is for a used vehicle with a "Recon" title no matter how nice it is!
Resolving your insurance issue may hinge on your potential desire to have full "Comp and Collision" coverage on your rig. You might be better off to self insure for the physical damage portion of your coverage and just apply for Liability insurance coverage ONLY to resolve your current vehicle insurance problems.
Once you have Liability insurance coverage with a carrier you might try to add "Comp and Collision" coverage at your 6 month or yearly renewal. Ya never know that might work if you wish to have those additional coverages on your policy.
Another issue that may result is if you have a loan and therefore owe money on your "Recon" vehicle the lender will surely require full coverage insurance. THIS is the "Catch 22" for all vehicles with a "Recon" title and a vehicle loan. The lender may still loan you money to buy the "Recon" title vehicle however YOU might not be able to meet your contractual responsibility of properly insuring the vehicle with Full Coverage Insurance as specified in the loan documents you signed when you borrowed the money to purchase the van IF you purchased the van using some amount of borrowed money.
Just some suggestions you might consider that may help!
Remember "Drive Fast, Turn Heads, Break Hearts!"
2001 Chevrolet Express 3500 Quigley 4WD ATF "Bomber Van"
1995 Chevrolet ASSTRO 4WD Quigley Custom Van
1994 Dodge B350 Sportsmobile Van