A couple of observations, some echo of other comments:
1) Leave your dry suit valve fully open - There is almost no situation where you benefit from closing this, especially as a beginner. Leave it fully open and you dump air by rolling that shoulder up. If you vent and need to refill then do that. You'll get better at controlling this with experience. The valve WON'T leak if fully open, and if you instructor is giving you that impression then have a conversation about it. About the only time I close mine is on the surface at the end of a dive to inflate and warm up.
2) From your story it is likely you are significantly over weighted. If you had to dump that much air from both your BC and Drysuit at 60 feet it's likely you are carrying too much lead. Make sure to weight check again. You should expect to SLOWLY sink in a head's up position when you dump your BC's air on the surface. Dry suit valve fully open so it can vent. If you sink more than about 1 foot per second from the surface you have too much lead.
3) You will not often need to use your BC for buoyancy if you are not over weighted. Inflate the dry suit to eliminate squeeze only. If you find you need the BC for more buoyancy at depth, that's fine. Make a note of it and consider removing another 1 pound for the next dive.
4) You seem focused on technical diving. That's a good goal but remember you are still a beginner. Once you have mastered Basics like dry suit and buoyancy control you will be closer to that goal. There is a reason you don't give a new automobile driver a Porsche 911 Turbo, they would get hurt. It's too much to control too soon. Get comfortable with the fundamentals first and your progression to Tech will go better. If you get hurt or discouraged by pushing too fast you may not achieve your goal.
1) Leave your dry suit valve fully open - There is almost no situation where you benefit from closing this, especially as a beginner. Leave it fully open and you dump air by rolling that shoulder up. If you vent and need to refill then do that. You'll get better at controlling this with experience. The valve WON'T leak if fully open, and if you instructor is giving you that impression then have a conversation about it. About the only time I close mine is on the surface at the end of a dive to inflate and warm up.
2) From your story it is likely you are significantly over weighted. If you had to dump that much air from both your BC and Drysuit at 60 feet it's likely you are carrying too much lead. Make sure to weight check again. You should expect to SLOWLY sink in a head's up position when you dump your BC's air on the surface. Dry suit valve fully open so it can vent. If you sink more than about 1 foot per second from the surface you have too much lead.
3) You will not often need to use your BC for buoyancy if you are not over weighted. Inflate the dry suit to eliminate squeeze only. If you find you need the BC for more buoyancy at depth, that's fine. Make a note of it and consider removing another 1 pound for the next dive.
4) You seem focused on technical diving. That's a good goal but remember you are still a beginner. Once you have mastered Basics like dry suit and buoyancy control you will be closer to that goal. There is a reason you don't give a new automobile driver a Porsche 911 Turbo, they would get hurt. It's too much to control too soon. Get comfortable with the fundamentals first and your progression to Tech will go better. If you get hurt or discouraged by pushing too fast you may not achieve your goal.