I've just read your post and I feel so sorry for you because I used to have the same problem! But I tried this Antiperspirant called Perspirex. Its a very strong antiperspirant that works! All you have to do is apply it under your arms before you go to bed, then in the morning wash under your arms put whatever deodrant you would normally use on! And that's it!
It worked wonders for me! :) Just a tip don't put it on straight away if you've shaved under your arms, cause it can cause itching and be really uncomfortable!
Let me know how you get on please I'd love to know if it worked for you like it did for me! :) Good Luck! Xx