You absolutely should get a different housing if you want to run LEDs. The OEM halogen housings cause light output from LEDs to scatter and appear much brighter to oncoming vehicles - that’s why you’re getting flashed.
I had anzo switchbacks and these LEDs (as both high and low beams) on my 2015 for a couple years before I switched to the OEM LED housing. After aiming them correctly, I didn’t get flashed.
I put a set of [these](www.amazon.com/dp/B01MFABBZW/ref=cm_sw_r_cp_api_qrT9ybMYXR25S) in my b6 Passat about a month ago. They did require some slight modification to the piece that secures them to the headlamp assembly, but it was a very easy install. I am very happy with the results, they look great and are way brighter. Keep in mind that my Passat came with projector style lights, so the bright white might look more natural in mine than it would in the reflector style ones on your Tiguan.
NINEO H7 LED Headlight Bulbs for my headlights, and Torchbeam T2 H11 LED Bulb 12000LM for the fogs
Headlights-
https://www.amazon.com/dp/B01MFABBZW?ref=ppx_pop_mob_ap_share
Fogs-
https://www.amazon.com/dp/B0833W5PZB?ref=ppx_pop_mob_ap_share
I am using these:
https://www.amazon.com/gp/product/B01MFABBZW/ref=oh_aui_search_asin_title?ie=UTF8&psc=1
They have an interesting gap down low in the light pattern, (6ft in front of truck or so) but fog lights fill it in.
Full disclosure, I had these lights that were setup for a HID kit. May or may not be different with what you have.
Side note, if anyone has any idea why my driver side low beam keeps going out randomly (not fuse, not bulb) would be great!
NINEO LED Headlight Bulbs Conversion Kit w/ Clear - H7 - 60W 6K 7,200Lm CREE - 3 Yr Warranty https://www.amazon.com/dp/B01MFABBZW/ref=cm_sw_r_cp_apap_cfuWbyOz5veRv
Got these in my 2016 636. Work great and have no issues with the forks. Had the cut the dust covers though so they would go back on
Or these.
NINEO H7 LED Headlight Bulb, CREE XHP50 Chip, 360°Adjustable Beam Pattern Conversion Kit 72W 6500K 12,000Lm - 2 light bulbs https://www.amazon.com/dp/B06XBJ4F16/ref=cm_sw_r_cp_apa_gfQhzb6K7XXD0