As long as the PCB is heated evenly and kept below soldering temperatures it should not produce too much fumes. However, even still it will produce some and you should be prepared in case it heats unevenly and begins to smoke. There are a lot of small units for soldering availible, this page is about larger units that can handle potentially larger fume amounts from a heat gun

Tabletop fume extractors. Seem to be popular, I will likely get one of these (probably (EVAC-200) as there is good documetnation and looks like its easy to find an purchase filters for them

Models:

• Evac 105: small ducted unit
  • New: $640.70
• Evac 200: larger ducted unit. Seems to be pretty popular
  • New: $951.92
• Evac 250: like the 200 but with bells and whistles like filter change alarm
  • New: $1,380.49
• Evac 500: has 3 feeds instead of 2 like the other units and of course more CFM
  • New $2,805.00

Models:

• Mixonix FE-1200

Models: * Scavenger HS3000

Cygnus Production Industries Fumex Model F001C 115V 3.5A60Hz 1PH Fume Extractor