I hate to sound like I'm throwin' cold water on the idea. The stock rear suspension will compress to the limits of its travel, no matter where it is located. While it is true you could rivet in some new brackets to the tunnel to lower the suspension mounting holes, this won't do anything to increase the stock suspension travel. About all it will do is raise the ride height (and center of gravity) which will actually make the sled more "tippy". This would, however, make sense if you were riding the majority of the time in deep snow, as it would keep the tunnel up out of the snow better.
The stock rear suspension in the Invaders was very good back in the day. If I were you, I would be sure to pull the rear skid out, and thoroughly clean all of the aluminum cross shafts, then lube 'em up good with some low temperature grease. With the rear skid cross shafts, springs, shock absorber, etc. in good shape, it's surprising how well they ride.
You can also look down the road and can always install a newer suspension. Some of the newer Polaris rear suspensions from the mid to late 90s model years are a fairly simple change, if you want to upgrade the ride...but, there is only so much you can do, because the front leaf spring skis limit the ride....they probably only have 3" of travel. The LTD's and 1981 Invader used a new ski design with a little more travel and an improved rear suspension with another inch of travel....but it's kinda a case of "It is what it is".
I don't know of any good way to modify the stock suspension to gain any more travel.