I may be just a bad horse owner, but I don't normally check anything on a regular basis. Except looking him over for bumps and bruises. Now if I come out and he is acting sick, or just not himself I run through the check list. He is a stalled horse, so I don't really worry about founder since the barn skimps so much on everything you have to worry more about them starving before that.
Temp = 99.0 - 101.0 F
Pulse = 30 - 40 bpm
Respiration = 8 - 15 breaths per min.
Gut sounds check both sides
Dehydration = tent skin, check gums
These are just what I start off with and I actually do check his gums everyday, because he has been known to not drink. Now if he is lame or something I check his legs for swelling, knots or cuts, than I check his hooves to make sure they look good, and I press on them to see if he is sore.
Hope this helps some, I just posted all that in case you didn't know and to remind myself.