I am just an intermediate skier but I absolutely hated going into trees until I got myself a pair of Nordica Enforcer 104 Free skis. Yes, they are a bit heavy, but they are easy to turn, easy to slash around to dump speed and are crazy stable at pretty much any speed I can make them go. Soft snow or hard, no problem!
I also have a pair of Rossignol Sender 94 Ti skis. You wouldn't think it, due to the flatter tails, but they are even easier to ski in the tightest of trees, as they are extremely maneuverable and so easy to turn. These skis also don't seem to have a speed limit and they absolutely RIP groomers. Again, soft snow or hard, chop, crud, powder, ice .... they do it all.
I weigh a tiny bit more than you and I can lean on either ski with all my might and they do not protest, just roll on through.