The hot areas in the lab have different animations, the main part the flames are burning very high, then you die quickly. Just after that the flames subside a bit, then it seems you can already walk over it before the flames drop below floor level. And yeah, those spikes are deadly, especially for melee. What character are you playing? 2k armour does not sound very high for an armour base. How much life do you have?
On a related note, I have been thinking about damage mitigation recently to try and not die so much

It seems to me no matter what char you play you need to be able to deal with massive spike damage. More specifically, physical damage. It is relatively easy to get capped resists, which reduce elemental damage a lot. Chaos a bit harder, but you can mitigate a bit and there are not too many damage sources. But for phys you need to be able to soak up the damage. Even my shadow with high evasion, only has about 43% chance to dodge attacks. The rest of the attacks you need to be able to take. My marauder has almost 50% damage reduction with a lot of armour (seems less than the 75% ele resist?). Energy shield is basically more life so that helps if you have a lot.
So what are your options? High life pool first. You probably need at least 4k and preferably 5k life to survive late in the game. I am currently only on 3k with my shadow and struggling with first level maps. I can add a bit more with some more passives and a few pieces of better gear, but probably won't get higher than 4k eventually. This will make it difficult for me later. I can prob go hybrid and add ES onto my life pool, but then gear will be very expensive, and I have no passives to support ES so it will probably not work very well.
Lots of armour helps to mitigate phys damage, but it is not as easy as ele resists and the effect is has seems to be less. Still need a high life pool to take the remaining damage.
Lastly you can go CI probably? Lots of expensive gear to get very high ES and lots of passives to support this. Bonus is you get chaos immunity as well.
Bottom line, what else can I do on my shadow? Just get more life? Elemental hits don't affect me that much, but phys damage can quickly kill me, especially things like devourers.