I don't have any real experience with Romana II. I liked Romana I, but I couldn't stand The Key to Time after the atrocious The Androids of Tara. For Romana II, I only saw part of The City of Death. I loathed what I saw of that BBC Travel show disguised as a Doctor Who episode, but it wasn't Romana II's fault. The problem was the idiot writer/producer/etc who decided to film Tom Baker's vacation to Paris but forgot to write a real plot into the "story". its just endless, pointless walking scenes along with Romana acting like she has the brain power of Dodo because earth is just so confusing for a Timelord. So in that regard, I have a low opinion of Romana II, but its not what kept me away from the remaining Tom Baker.
Basically, its the steep dive off a cliff the writing quality took, along with my experience with the insultingly bad City of Death and my complete lack of desire to watch JNT ruin Tom Baker completely that keeps me from watching those remaining Tom Baker episodes. Maybe when I've watched every other remaining Classic Doctor Who story, I'll be able to stomach the horribleness of the late era Tom Baker stories. As it is, as far as I'm concerned the good portion of Tom Baker's era ended after The Pirate Planet, and the rest of the garbage can wait until last, if ever.
Somehow I have a hard time believing that you're going to make it though all ten parts of The War Games.