Plume FTW... although it seems it's been missing a few 'updates'... I've set it to check every 30 minutes, but sometimes I won't get notified until the next hour or so... Even so, I've tried a lot of clients and I've always returned to Plume. Much better design, funcionality, and I just love the widgets
I was going to suggest Carbon until you said it keeps force closing. It's been awhile since I've used it. From what I remember, though, the dev is never in any rush to complete a task.
Personally, I have been using Tweetdeck for the longest time. Its very easy to use and I tried other Twitter clients but always go back to TD. I don't think its on Play Store anymore so you have to find a archived Tweetdeck APK.