But Musgo contains lanolin, and that's probably not good, either.
Personally, I feel you should try a hypoallergenic cream containing as little ingredients as possible---T&H's Ultimate Comfort, Taylor's hypoallergenic, Cella (soft soap, but easy to work with) and I believe Nancy Boy makes one too. You might even want to consider skipping soap-based creams for the moment and shave with brushless gels. Don't try fancy techniques for the time being: the less you irritate your skin the better. Then ask your GP or dermatologist---if you have one---for salicylic 'water', which is basically a solution of salicylic acid in water or alchohol, or a mixture of both. (I forgot the precise solvents, it doesn't matter much.) You cannot help the skin from becoming irritated while shaving, and the soap fats will clog pores no matter what. However, you can do something about inflammation afterwards, and that's where the salicylic acid comes in. I have no experience with it personally, but I have read acounts from people who have, and they almost invariably mention that it solved their skin problem.
Good luck!