Budlight for your information loads like that came from "THIS" site back in Oct of 02 way before the "OTHER" site was thought of. Now on to your chrony comment read the link it was an Oehler 35p. Get your facts straight and do some research before calling me out on my bogus info and suggestions.
I was getting 3400 plus with the Lost River 162 grain bullets. In another test I was able to get 3500 with Sierra's 168 SMK out of my 7 mm STW. It was a 34 inch barrel though and that will account for the speeds but since you can stuff a lot more slower burning powder into the rum cases you very well may obtain those velocities with 140 grain pills with proper load development.
Here is the link to THIS site and my load info.
Long Range Hunting
As you can see Re-25 netted me 3500 plus and H1000 netted me 3400 plus. Dropping down to a 140 grain bullet you should be able to obtain 3500 with a 7mm rum. I think the US 869 would be a good starting point and work it up form their.
I think its entirly possible to obatin the 3500 fps mark with the latest edition of Hodgdon's US869. We wont know until you give it a shot or someone else does.