Record execution of .Net program in order to debug through it at a later point in time

I have an intergration test and during the execution quite a lot of data originates due to the behaviour of the system under test. Depending on the test run result this data is valuable or not. I therefore have the problem that I must find some "structure" (for every test this would be some other structure I have to come up with because there are many different tests with different data) to store the data in because I might need it - mostly in a later point in time - in order to look it up again.

For me the best (yet I assume quite heavy-weighted in terms of disk usage) solution would be to record the execution (serializing the generated data over time) and have a possibility to "virtually" step through the run any time afterwards.

Is there a tool or a concept with which I can accomplish this or is there some crutial part I'm missing or mistaken about? Looking forward to your input.