Heli will not climb above ground effect, battery tests ok, axles in balance no vibration, just will not climb

Maybe the tires need balanced?

The dealer is not going to replace something if they can not prove to the company the part is defective. The company won't pay the warranty claim.
A bent axle was my next guess. A garage could find out by using the same dial indicator used to check for a bent rim.
The dial gauge is placed against the shaft and the wheel is turned, if the axle is bent the dial will move.
I don't know what Road Forced balanced means, but most balancing machines duplicate road speed of about 30MPH. So a tire or wheel can balance ok on a machine but still have a vibration at speeds above 30 or 40mph. The easiest way to make sure is move the front tires to the back and see if the vibration travels too.
If you are describing the problem correctly, it almost has to be in the transmission, the axles, or the wheels. There is a slight chance a strut or strut mount could be faulty and allowing a small bounce to be amplified.

could be out of balanced tires or possibly your suspension could be out of alignment, brake rotors being warped will only cause a vibration when pressing the brakes

If you jack up 1 wheel off the ground and put the car in gear , you can watch the tire spin. You might see a bent rim. The shop that mounted the tires should have seen it and warned you though.

if you jack it up both ends off the ground,using axle stands to support it,then start it,put in gear and take it up to the vibrate point.you can get someone to carefully look underneath,and at the wheels,to see if any thing vibrating.DONT REV IT TOO MUCH.it might fall off the stands

there are a few things that are more likely than others .. first tire balance .. if a tire loses a balancing weight or gets its rim dented or if the tire is simply worn .. then you need to rebalance the wheels .. this should be done every year or so anyhow .. a broken cord or belt in a tire will also show up when they try to balance as will a bent rim .. this will tend to shake the car above 50 mph .. thats also not a safe condition since the tire could fail unexpectedly .. you might observe a tires tread wiggling when observed moving from another car or on a rack when you spin the tire .... tires are most likely the trouble but a worn out CV joint will also shake at certain speeds .. usually this shows up at low speeds or as excessive slack in the drive system .. warped rotors are a frequent source of vibration . but usually the problem is most noticable as brakes are applied .. the best bet is to have the tires balanced and inspected .. that will give you lots of information .. one more thing you dont see as much anymore is wheel vibration at higher speeds caused by worn ball joints or tie rod ends .. the wheels will actually oscillate above a critical speed . you will often see cupping on the front tire treads if this happens .. that cupping problem can also be observed when the tires are balanced .. the tie rod ends can be checked with the wheel off the ground .. shake the tire left to right .. excessive slack would mean worn tie rod ends ...

you may have a bad ball joint. this should be under warranty so contact a volvo dealer

I just replaced both cv axels one solved 80% of the problem and the other solved the rest. I wasted alot of time and money on new tires, balancing 3 times and an alignment. I should have just taken it to the transmission shop that I trust.

poss broken belts in tire(s) shocks

My 2003 honda accord was doing this too. The problem is the inner CV axle bearings. The fix is to replace both CV axles. When you choose your CV axle choose a new one not a reman, there are known problems with used CV axles. It's not a hard job. It took me 1hr to do both sides on a lift.