Sorry, missed the question in post #5 about the Solo controller.
I've mostly been using the AutomationDirect Solo SL4848 VR or the Omega CN7823. As far as I can tell, they are the same controller. Prices vary and I usually go for whichever works out cheapest at the time, factoring in the need for a suitable thermocouple if I don't already have one, and shipping.
Both Omega and AD provide excellent support should you need it, so there is nothing to separate them on that score.
Both controllers have one DC pulse output to drive the SSR and a relay output which can be assigned to an alarm. The DC pulse output is rated at 40 mA and will happily drive 2 SSRs each rated for 20 mA input in parallel (I used a pair of Fotek SSR-25-DA units on a sword oven with no problems at all). I'm not 100% certain, but I don't recall there being an option to run both outputs as control outputs in a heat-only or cool-only application, allowing you to feed the 2 SSRs separately. If you think you need to do this, please check with customer support that it's possible.
The second, relay, output can be used to feed a light or a buzzer if needed.
I have also used the bigger Solo 9696VR-E. It's slightly easier on my fat fingers and ageing eyes and the bigger display makes it easier to read across the shop. It has extra alarm relays so it looks like it would be possible to configure a "high, good, low" red,green,red light arrangement, though I've not actually done it myself. That might be useful for letting you know whether the oven is keeping up with the ramp/soak program because.
The TAP certainly looks like being an excellent controller. It should be much easier for the non-technical end-user to program than something like the Solo which is aimed much more at industrial users. It should also be able to give the user a much better idea on what is going on. Right now though, the TAP price seems high and it seems very new: I'd be inclined to let others, like Evenheat, do the beta-testing and wait until everything is finalized before buying in.