While your shocks may be worn out and need replacing, they will not affect the ride height. The ride height is a function of the springs. The shocks just slow the spring down when you hit a bump.
I would find a public scale to weigh the RV they are more common than you would think. You don't need a certified weight, you just need a weight. You can do a web search for a CAT scale, but they may not be plentiful in your area. Other places to call would be moving and storage companies, the local landfill, a grain silo, heck any place that regularly runs big trucks in and out will probably have a truck scale.
If you do weigh you want to load the RV as if headed for a trip. Make sure the fresh water tank is full and fill up the fuel tank. Then drive to the scale and take three weights. 1) The front axle. 2) The whole RV. 3) The rear axle.
Take these wights and have your RV repair shop order and replace the springs and shocks.
.
2001 Suburban 4x4. 6.0L, 4.10 3/4 ton **** 2005 Jayco Jay Flight 27BH **** 1986 Coleman Columbia Popup