Well, since you really are looking mainly for USB2 ports to connect a few peripherals, you don't need anything that gives you high-power charging ports. That MAY be difficult to avoid, since that's such a popular added feature. Most such ports, though, can operate as normal USB ports if you plug into them a simple device like a mouse - they just have the ability IF it is needed to provide higher-than-standard power to a device (like a smart phone) that has the ability to request such higher power.
There is a real reason that the makers of powered USB Hubs provide power "bricks" that are not rated high enough, besides trying to save money on the manufacturing costs. They make the assumption (usually justified) that the user may plug in devices on all the Hub's ports, but several of them will NOT need the max power of its port, and the user may not even be using all the connected devices at once. So the total power consumption of the hub is less that the number you get from multiplying the number of ports by the max power spec for each port, as I did above. Still, buyers need to be aware of this design choice.
Items like your keyboard and mouse consume much less than the max allowed for a USB2 port. In the near term, if you get a USB3 Hub (it's easier to find) with a power "brick" able to supply most of the requirements of that newer spec (much higher current limit per port), the current limit for using USB2 devices on it is even less of a concern. One item you have mentioned that MIGHT require power close to the USB2 port limit of 0.5 A at 5 VDC (2.5 W) is the modem. That has more circuitry and complexity that an mouse or keyboard, but I suspect it will conform to that USB2 limit.
I will caution you about the "backup drive" you mentioned. ALL hard drives can NOT get enough power for their operation from a single standard USB2 port. IF you have an external drive designed for use on a USB port, special arrangements are involved. All such "laptop drives" are designed to use as little power as they can, but that is NOT so if you get a common external drive unit for a desktop system. Those desktop units may have a USB2 or USB3 cables from then, but they also should come with their own "power brick" because they need more power than even is available from the new USB3 ports.
But back to "laptop drive". The original ones designed for USB2 ports had two options for getting sufficient power. One was to supply it with a "power brick" that you MUST use with the unit. Alternatively, some were supplied with a special USB2 cable that had TWO plugs on one end, and you had to plug BOTH into two USB ports so it could get enough power that way - two port's worth. Now, however, the new "laptop drives" designed for use with USB3 ports normally CAN operate solely on the power from such a port, so they do NOT come with their own "power brick" or any special USB2 two-headed cable. BUT they are a bit deceptive in their desriptions, because they often say they are "USB2 compatible". What that really means is that they technically CAN communicate with a USB2 port, BUT that does NOT include getting enough power to do that job. IF you try to use a new "USB3 laptop drive" on a USB2 port it can NOT get enough power from such a port. You need either a unit that does come with its own "power brick", or you need to search out one of those old double-headed USB2 cables. BUT there's also a third option, and I know this works because I've done it. If you buy a POWERED USB3 Hub and use the included USB3 cable to plug the USB3 laptop drive into that Hub, the Hub's ports CAN supply the higher power of 0.9 A that the drive unit IS able to work with. When you connect the Hub to a USB2 port on your laptop computer, the data transfer rate will only be the slower USB2 rate. BUT the power needed to run the "laptop drive" WILL be supplied by the powered USB3 Hub, and it works. So that's another eason to buy a USB3 powered hub, and not keep looking for a USB2 Hub.