Bigsby vs. Duesenberg les trem, and whammy bars in general

So I have a Les Paul with a Bigsby B5 installed in it, using a Vibramate (so I didn't have to drill any holes). While the Bigsby is a classic and looks great on most guitars, its main flaw is that it's not that easy to use while you're playing (and impossible to use while strumming, if I play in a shoegaze style). On another of my guitars, I have a Jazzmaster style vibrato, which I consider to be the perfect one: easy to use while playing, and keeps in tune very well. However, such a whammy bar doesn't exist for a Les Paul (or if it does then it's very expensive), but from what I've heard the Duesenberg is the closest thing to it. I already have a Bigsby and am relatively used to it, but would like to know if anyone has experience with the Duesenberg, and how it compares with a Jazzmaster vibrato? Is it worth buying the Duesenberg, or is there not a huge difference between it and the Bigsby?

Bonus question regarding whammy bars: Naturally, I use the whammy bar on my strat as well. That one has another issue: it goes out of tune very easily, compared with the Jazzmaster or Bigsby. Is there any (cheap) solution to that? I am aware of the Vegatrem that supposedly stays in tune very well, but it's a bit out of my price range for now.