I wouldn't get rid of your Sendero unless it just doesn't shoot that well because like some earlier posts stated you can easily get a new trigger installed even though my experience shows with the old Remington triggers you really don't have to worry about accidental discharges unless someone really FUBAR'd the trigger job.
That being said I have owned a few Browning rifles and currently have an X Bolt 300 WSM
. For a rifle that weighs less than 8 pounds scoped and fully loaded it's one of the best shooting rifles I've ever seen (1/2 inch 3 shot groups at 100 yards). I had a Browning A Bolt in 270 Win that would shoot handloaded 140 grain SST's into less than 3/4 of an inch at 100 yards all day long and have never shot a Browning that I couldn't get 1 inch groups or better even with factory ammo. I know some people say that Brownings shoot awful but my personal experience shows all of them can produce better than MOA groups.
I was looking on Browning's website last night and they just released an A Bolt Long Range Hunter that looks like it could be a sweet gun. The trigger on the X Bolt is better than the A Bolt trigger straight from the factory but you can buy triggers springs off MidwayUSA for an A Bolt for less than $30 that make the A Bolt trigger feel awesome.
The reason I continue to shoot Brownings over any other brand is because they feel really nimble and lightweight and where I hunt I hate carrying any more weight than necessary. So if weight is not an issue keep your Sendero and have the trigger replaced if it is bothering you that much, but if you want something lighter and more nimble the Brownings rock.