Sometimes to even out things with family members, we've played a format called "piggyback".
Say there are five of us. Everyone drives as usual. The catch is that on the first hole you can opt to take your upshot at any of the five lies, including your own. From that point to holing out, you are on your own.
Same rules applies on the second hole, except that you cannot use the lie of the person you used on the first hole, even if it was your own, so you only have four options.
On the third hole, you can't use either of the people you've "piggybacked" on the previous two holes, so you only have three options.
On the fourth hole, you have the two remaining options, and on the fifth hole, you must use the lie of the one person you have left. Better hope that person doesn't go OB on you.
Starting with the sixth hole, the process starts all over again.
Depending on the group, sometimes I've let players always opt to take their own drive.
I can't say it makes things more competitive, but it does make the game more social and fun.