Well when my husband got a job here in Qatar,we came here together and we are not even married then yet, but my husband's company gave me a tuorist visa that's for two weeks and can be renewed for a week, ull just have to pay 100 riyals,( by the way im asian)in ur case ur wife can just go to bahrain, dubai. abudahbi, when her tourist visa s finish and just come back in hre in Qatar
She can apply for that tourist visa again (that's called visa on arrival)for 55 riyals....
Yuo dont need to go to a hotel for the visa just go to the airport where you take ur exit visa ull find where to apply for ur wife's visa
Hope this info helps you....