Well, this isn't for the faint of heart, but still doable. Round trip from Houston Texas to Tel Aviv Israel, spend a week (or weekend) in the holy land.
To maximize miles, here's what you can do:
Houston (IAH) to Detroit (DTW) - Tue, Apr 30
Delta 966 Dep: 7:25AM Arr: 11:14AM 2h 49m MD-80
==Layover in DTW 0h 56m
Detroit (DTW) to New York (JFK) - Tue, Apr 30
Delta 1532 Dep: 12:10PM Arr: 1:58PM 1h 48m Airbus A319
==Layover in JFK 9h 42m
New York (JFK) to Tel Aviv (TLV) - Tue, Apr 30
Delta 268 Dep: 11:40PM Arr: Wed, May 1 5:20PM 10h 40m Boeing 747
Ahhh, Israel...
Tel Aviv (TLV) to New York (JFK) - Mon, May 6
Delta 269 Dep: 12:40AM Arr: 5:25AM 11h 45m Boeing 747
==Layover in JFK 10h 30m
New York (JFK) to Detroit (DTW) - Mon, May 6
Delta 95 Dep: 3:55PM Arr: 6:13PM 2h 18m Airbus A319
==Layover in DTW 1h 32m
Detroit (DTW) to Houston (IAH) - Mon, May 6
Delta 915 Dep: 7:45PM Arr: 9:53PM 3h 8m Airbus A319
Total price: $700