I have a friend who rides trails in a correction bit. To me, her horses are intimidated by it and are afraid to have contact. Then, if they act up and she "corrects" their behavior, they look wild eyed and their tongue lolls out of their gaping mouth. I am not a fan and would never use one myself for trail riding.
BUT, if you have quiet hands and that is what your horse is used to, then I could see it working. They are really good for backing the horse off the bit!
What's ironic is I ride with some contact in a much milder bit and she always tells me I am pulling on my horse. My horse IS very forward and sometimes I have to keep contact to keep her under control. Plus she's a Fox Trotter and I think she needs a little contact to gait. I guess it all just depends on where you are coming from!
Anyway, this is my favorite trail bit for both my Mustang and my Fox Trotter. Myler HBT Shank Ported Barrel MB 33 5" Bit
It's a Myler HBT shank with #33 mouthpiece. The big port allows tongue relief (which my Fox Trotter really appreciates) and it isn't as harsh as a correction bit. You can also get them in longer shanks, but for trails I like this little short shank. There are also some cheaper imitations out there if you just want to experiment but the Myler has such a nice contour to the mouthpiece that I opt for the Mylers myself. Sometimes you can get them used on eBay
for 1/2 the price of new.