I run solo games, when I've finished a chunk of writing I'll be starting a new one. I tried Mythic Emulator for a bit, but I found the random tables in Traveller easily good enough (especially the ones in Mongoose's version).
THe key for me, is not 'running a PC through a mission ... I never do that, I run a crew of a ship (scout/navy/merchant/other). Star hopping is good, new encounters, new complications. And most of my interest comes from the crew interactions.
I make sure, like any good soap opera that they have personal agendas, issues, hatreds, rivals, jealousies and set these out to 'trigger' on their own individual 1-6 tables.
So, in jump this week. Roll for an Event. Then roll 2 crewmembers for 'personal interactions'. Roll on their 1-6 personal table. One is 'massive argument with the captain..again'; the other is ... 'secret illness gets worse, covers it up 50/50 chance'.
Now I try to tie those two personal problems together, then see if and how they might relate to the EVent rolled from the TRaveller book. (Although there is no injump Event Table so I end up writing that too!).
The key for me, like everything for me in Traveller, is rolling randomly, then enjoyng yourself trying to explain it all away! That's my solo approach, rather than rd by rd combat.