Brad Fritsch (70) and David Mathis (66) share third place at 11-under-par 205. Scott Gibson, George Bradford and Michael Harris are tied for fifth place at minus-8 on El Cid Golf & Country Club.
Davis was on fire early as he drained a 45-foot birdie putt on the first. He came back with a birdie from 20 feet out on No. 6. After a bogey on the ninth, Davis drained a 20-foot birdie try on the 10th to get to minus-14. He collected one more birdie on his way to sharing the 54-hole lead.
'Today was probably my best ball-striking round of the week,' said Davis, who is the nephew of seven-time PGA Tour winner Peter Jacobsen. 'My distance control was a little off, and I just didn't give myself as many chances as I did the first two days. But all in all, it was a good day.'
Gomez, who has missed most of the last three years with a shoulder injury, ran off four straight birdies from the eighth. He converted another birdie putt on the 13th and joined Davis in the lead with a birdie at the last.
'I started out patient and was just getting a feel for the round,' said Gomez. 'I had a lot of chances today, but I have to play the same way Sunday. If you get it going out here, you can shoot 10-under. There are a lot of guys still in this.'
Derek Gillespie, Craig Taylor and Robert Hamilton share eighth place at 7-under-par 209. Antonio Serna is one stroke further back at minus-6.