I personally don't find the ITN framework useful and agree with most of John Halstead's criticism of the framework here. Cost-effectiveness seems better if you want to make something numerical, within a particular cause area.
In fact, for me, I think both cost-effectiveness and ITN as intellectual frameworks fall down because they mask what I see as a fundamentally philosophical set of questions, if you're trying to do something like compare mental health with health interventions with animal welfare with more longtermist interventions.
If there's an underlying question: how does one prioritise causes? From my own perspective, I just gravitated towards a more longtermist cause prioritisation over time as I found the arguments quite convincing, but I agree that many other areas are extremely worthwhile.
INT = good per dollar by definition (when used in the quantitative rather than heuristic way), so in that sense it's exhaustive, though in practice, people often miss some factors that are not as naturally captured by the framework:
I find it useful to try to make a 'direct' estimate using INT, and then to have a separate 'all considered' estimate that aims to take account of all the above.
The application of INT also gets more complicated depending on whether you're interested in the resources spent in a certain year or over all time. Likewise, there are issues like complementarities between different forms of resources (e.g. funding vs. labour) that can mean the analysis is different for different resources.
You could also have another category of timing considerations, such as these. Toby's soon, sharp, sudden framework helps to capture some of timing factors as well, or you could think of them as guides to what's most important.
As an alternative, I think it's also useful to think of cost-effectiveness analysis of specific interventions as a separate framework that provides a different perspective.
INT is also only about how pressing causes are in general. In practice if you're making a real decision, you also need to consider your personal fit, career capital, the quality of the specific opportunity etc. as well as other moral considerations besides good done.