I play on PS3, so I have no access to mods. One thing I wish for would be a removal of dragons after the MQ. I'm doing a character that stops the MQ after arriving in Riverwood for the first time, so dragons don't spawn. I have found the game to be much improved without constant dragon attacks. I miss out on shouts and a questline, but it's worth it, imo.
Ive never had the issue with constant constant dragons. I've had a few cases of two at once, but I've not had major issues with them. Your mileage may vary though.
Can't start Dragonborn until you trigger the random dragons as well, and I start that with everyone. Don't usually go past the Horn though.
As for mods, I'm not running any actual mods atm, just the three DLC and their respective unofficial patches. Which aren't mods. They're the fixes that gamesas hasn't made yet.