sorry for late response. Wae gwan belongs to Chil gok county. there is Chil-gok branch of Youngmnam buddhist school Kwan um sa(http://tvbuddha.co.kr/engsite/
it's famous for it's education programs for lay people in Youngnam area (Kyung sang nam do, Kyung sang buk do, a independent institution of Jogye order) but it would not provide english program I think. and Kyung sang do province is notorious for it's hard dialect. many Koreans live other areas can not fully understand their dialect.
if you don't bother to go to Daegu city, you could find many opportunities I think. there is one of the main Korean zen monasteries, Dong hwa sa temple (http://www.donghwasa.net/
and there is Daegu branch of Hanmaum zen center( http://www.hanmaum.org/startpage
) there is english page on the right.
in fact, there are several citizen cen centers run by zen manasteries which their main monasteries are located in mountains. but I don't know if there are English programs.
and there are many traditional zen monasteries in Kyung sang do area. in fact that area is the spin of Korean zen, brought out countless zen masters, but ALL of those temples and hermatages are deep in the mountains, and Too traditional. I suggest you to try the two above.(Young nam buddhist school Chil gok branch or Daegu main temple, Hanmaum zen(seon) center Daegu branch) Chil gok and Daegu is very close as you know. good luck!