You might want to try getting the Nvidia GPU working. They're several times faster than intel integrated, and browsers are a GPU-heavy application.
Intel keeps trying to say their integrated graphics are finally decently fast, but that's only a select few special models. Their high-volume chips continue to have integrated GPUs that are barely fast enough for web browsing.
How are laptop GPUs these days in terms of energy consumption? My last experience was a while ago, but the battery drained fast with them active.