As a regulus, I find I do best when I play as a flag capper/miner/support. I usually don't bother fighting UB in the early game. Or any demigod really 1-1, unless I have a cleaer advantage. I usually just throw down a mine and then retreat. If you chase me, you follow me into towers. When you turn around, I snipe you just as you reach the edge of the fog of war.
What I will do is play extremely opportunistically. If your life drops below 1000 I start watching you, esp. if you're fighting a teammate. Below 700 and I start readying my snipe, depending if my teammate is continuing to whack on you. In the time it takes for me to charge my snipe, your health would've dropped low enough for a 500 point Level 1 snipe. Thus, even though I may not be involved in 1v1 battles, I make any 1v1 battles against my teammates really 2v1 battles.
If I see you on the map far away from me, I'll also snipe you just to make sure you're weakened if we get into a battle.
If you retreat and I can't snipe you, I'll just shoot at towers with my Range upgrade, forcing you to come back or lose your tower, by which time the place might be mined.