.44 Magnum meets these requirements. How about .44 Rem Mag? I am guessing it is over the 1.625 length requirement.
They are one in the same. My hand loaded swc .44 are right at 1.625. I shoot my pistol accurately at 75 yrds off the bench and would not hesitate to shoot 100. Chambered in a rifle like the Ruger 10/44 or the 96/44 it would make a slug gun envious. It would make an excellent brush gun and is capable of shots up to 150 yrds. There is also a veried supply of hunting loads available designed to take game with. If I were in in your state I would take advatage of your new policy and acquire a new weapon.
http://www.ruger.com/Firearms/PDF/PartsBooklets/E2.pdfhttp://www.ruger.com/Firearms/FAFamily?type=Rifle&subtype=Lever%20Action&famlst=37The 10/44 isnt in production any longer but it shouldnt be hard to locate one.