You are not going in season.
Normally that much rush is not there.
Don't Worry about this.
Got some number don't know if it is right or not .
Code:
1.
Accomodation at karzok
2 Jun 2019, 10:21 PM
Save
Goose Homestay https://goosehomestay.kettik.com/about Phone : +91-9419531088
Also shared a blog link as PM
from
https://www.tripadvisor.in/ShowTopic-g297625-i10473-k12607226-Accomodation_at_karzok-Leh_Leh_District_Ladakh_Jammu_and_Kashmir.html
2.
Goose Homestay
₹ 1000† / Night Home Stay
★ ★ ★ ★ ★ - 100% recommended by 3 previous guests
+91-9419531088
https://www.lonelyplanet.com/india/hotels/goose-homestay/a/lod/fdcd59b9-0e3e-4a0b-96f0-f7d73945b239/356195
Network there is not good.
In fact whole Ladakh has problem with Mobile Network as populated places are much far.
Check about Mobile Network in Ladakh :
Phone services in Ladakh
