It helps if your modpack was actually balanced to combat the "my mod is more OP than your mod" thing that seems to have run wild(at least on the RF front.
Personally I am in my current world pumping 40k RF/t into Laser drills. Have stopped quarrying conventionally because of this. It can supply me with Uranium and Yellorium for power and a mix of materials for building. And then everything else just adds up: Farms, crafting, ore processing, mob spawning etc. Then there is some mighty power hungry peak users like Extra bee machines(machines range from 500-1000RF/t each) and BC Assembly table Lasers(LaserPlus without unbreaking drawing around 15k RF/t when crafting). And should I happen to gather a large amount of ore, then the entirety of my Mekanism 5x processing plant will easily draw something like 15-20k RF/t.
And then there is ofc my extensive ME network connecting everything. I happen to run it of IC2 nuclear(uranium and MOX) reactors(which IMO have done a much better job at keeping their power balanced in terms of effort/gain over the years), but should I run that on RF as well then that will use an idle usage of 4kRF/t, but sometimes peak at up to 13kRF/t.
So yeah while it is very easy to produce power, if you don't fall for the most OP and easiest solutions then you can also pretty easily use it.
My biggest power drain is my ME system, as I'm gradually moving all production and processing over to it, and I'm adding more and more storage capacity all the time. The first thing I teach my ME to autocraft is usually itself.
Ore processing is a steady drain, but Infinity doesn't have much in the way of power hungry processing chains. I'm using a combination of TE, EIO, and TiCo smeltery for my needs, depending on the gains and efficiencies of each process. TiCo smeltery is mostly being used to melt armor drops from my mob farm.
I'm running between one and ten grinders, depending on what drops I'm farming. The spawning cells are set up with drawbridges and redstone lamps which activate via ME level emitters, so the grinders are only in use when item levels are below a set threshold. MFR autospawner runs only in manual bursts. This means RF drain on this system is actually quite low compared to the six full-time grinders I was running before. I will soon have small cursed earth farms in both the nether and the end for those associated mobs.
I've never done bees, so those machines aren't a drain for me. All of my personal equipment is set up to use RF currently (tricked out Dark Steel armor set, TiCo cutlass, TiCo pick, TiCo hammer, etc.).
I'm considering building an overpowered RFtools dimension just as a power-sink. We are using Mystcraft books to travel from base to base, and I'm thinking a RFtools teleportation network might be in order (again, just as an excuse to use power). My friend is beginning a Draconic Evolution power storage system, so it will be a fun challenge to see if we can fill it up, but what then? Nothing like having billions of RF without a real use. Again, laser drills are not a real use.