Ok, driving lights and auxiliary low beams are two different functions, and should not intermixed.
There used to be a category of lamps intended for use with low beams, that offered a center weighted high intensity hotspot, and a very sharp cutoff for oncoming traffic, with an SAE standard J582 (581 being driving lights, and J583 being fog lamp standards). Hella offered a product called a booster beam, Cibie offered a lamp with a similar name. Sylvania offered an HID unit that looked like a 4x6 reflector fog lamp that had some populatiry with bikers, but I am not sure if any of these are available outside of collectors or random ebay listings. These were true low-beam auxiliary lamps, intended for use in rural areas or at highway traffic speeds where there was too much oncoming traffic for the use of highbeams regardless of the speed of traffic.
I am not aware of any current offerings for a J582 equivalent lamp.
Hella had a 700ff based (if i remember correctly) fog lamp that had a very center weighted hotspot intended tl supplement poor low beams, but function as a fog. I do not know the part number or it its still available.
There was some discussion here several years ago, and our last moderator, who has departed the forum, proffered the advice that the Bosch Compact 100 fog offered a similar beam pattern, with a wide, useful fog pattern with a central hotspot. Iirc his advice was that it could not be considered a true low beam supplementary light, but in certain applications, it had some merit for that role.
Most fog lamps, even current offerings can be very powerful, but they cannot achieve the peak hotspot intensity to truly act as a low beam auxiliary lamp, and the breadth of their beams wpuld cause excessive glare for others in traffic if aimed high enough to provide any useful aid.
However, Morimoto offers a three LED lamp called the "4Banger" (I think a dimension reference) with the osram HXB LED that has a center-weighted beam pattern that has a noteable vertical step in the hotspot of the pattern, and trails off in intensity to the extreme right/left of the beam pattern that is probably the closest to a J582 standard lamp available currently afaik. The nichia LED versions will not have sufficient reach, and the HXB versions are not inexpensive, and I don't know if they offer a mounting bezel for your vehicle. But it's something to look at.
LED v HID is less a problem now from a perfprmance perspective. There are few HID lamps to consider for such an application (a NOS version of the sylvania J582 lamp being the one exception I can think of). LEDs beat out halogen and Especially HID for packaging size and complexity of electronics (many LED lamps don't require a dedicated relay setup to bypass OEM wiring, and don't require additional mounting of external ballasts).
For driving lights intended to augment your High beams, there are many good LED options available that beat out even good Halogen options, and negate the hot restrike/shortened lifespan concerns of an HID auxiliary lamp. And they can be found in small and large pods, and lightbar formats as well.
If your lowbeams are a primary concern, and the exterior lenses of the lamps are in good condition, perhaps the best bang for your buck is to buy new high performance HIDs from Sylvania/Osram or Phillips. The Osram nightbreaker line is available in +200 performsnce ratings now, and Philips has their lines available in +150. There has been some testing on tacomaworld in a headlight application that showed they were extremely close in improved maximum intensity, with the Philips offering a slight lsrger hotspot than the Osram nightbreaker laser offering, and a slightly lower color temperature. I don't have reference links handy directly to the testing, but I can provide a link to the thread and give a rough page estimate.
