Holy cow. We're having a discussion without immediate suggestion of putting reset daughterboards in!!!!!! There's hope!!
Best way to put it about a Hakko: You know what you're getting, and I have have never ever regretted any purchase I have made with the Hakko name.
$260 and it's said and done: https://www.amazon.com/Hakko-FR-301-Desoldering-Tool/dp/B07BKSLLG9/ref=pd_rhf_eeolp_s_vtp_ses_clicks_0_1
I prefer one with a digital temperature control. Unfortunately, the price of admission is definitely a bit steep:
https://www.amazon.com/Rework-Station-Solder-Desolder-FM-204/dp/B0012B6MVW
Keeping the temperature low is very important to minimize the pulling up of traces....