"You can actually get a fresnel light with LEDs inside instead of a tungsten bulb, which provides the best of both worlds. However, these lights are going to deplete your budget"
How is that even a con?
Buy a LED, say, the Aputure Amaran with good CRI and most of the cons become irrelevant (eg. color cast and flicker). Build quality - sure. But as with everything you get what you pay for. A LED panel should rather be compared with a fluorescent light of similar design. And a LED fresnel with a fresnel. The more compact, the more sturdy.
However there's many situations where I would you use tungsten over LED if I had the opportunity. Not that it has anything to do with any of the listed cons.