As I said, I used the Black and Decker Infrawave but... In order to get it up to temperature in a reasonable time, I had to pack the wall cavities with high temperature insulation.
Something like this, I believe:
https://www.mcmaster.com/#additional-insulation/=17zag0wThe oven is no longer manufactured but there are others:
https://www.amazon.com/black-decker-fc350-speed-cooking-countertop/dp/b00197vnyaFWIW, the InfraWave is rated at 1600 Watts and that isn't enough to heat up in the preferred profile without the insulation.
I use leaded solder, it melts at a lower temperature (generally).
I don't see how you can manually heat the board to a particular temperature (well below the melting point of solder), hold it at that temperature (soak) then ramp it up to melt the solder and hold for just a bit before ramping down (no heat added, in my case). This profile is pretty specific in terms of temperature and time.
The hot plate approach is much easier: Turn it to Max, hold until you see all the solder melt and then carefully remove the board, setting it aside to cool. No profile, really, just add heat until the solder flows. Don't leave the board on the hot plate while it cools.
There's a discussion of the suggested lead-free temperature profile here:
http://www.rocketscream.com/blog/docs-item/reflow-controller-shield/It's pretty clear you aren't getting anywhere near hot enough and you need to get there fairly quick. Otherwise the board and components are damaged.