Our pindo palm was hit hard by the extended hard freeze in Houston this winter. I've had conflicting advice from local tree professionals, so am hoping for additional opinions on how best to salvage it. I'd say the palm is 25 - 30 years old. The canopy was just above the fence when we planted it in 2000; I'd estimate it's now 18-20 feet tall. It's hard to tell in the photos, but there are a few green fronds up high, and a green fruit pod is growing, so we know the palm is alive. We trimmed about half of the dead fronds about a month after the freeze. We left the remainder because they at least provide some shade, and while the dead fronds are not attractive, the tree would not be particularly attractive with just a couple of fronds either. Is it better for long term viability and production of new fronds for the palm to be pruned back to just live fronds or to leave the dead ones for the duration of Houston's long hot summer?

Thanks in advance for any advice!