You can visit Kaghan, Swat or AJK.
Kaghan visit may include
1- Shogran, Sri Paye, Naran (sri paye on jeep)
2- Saif-ul-Muluk, Lalazar, (both on jeep)
3- Jalkhad, Lulusar Lake and Babusar (beyond Jalkhad on jeep)
4- Visit Sharan or Danna Meadows and then back home (jeep and trek from Paras and Khanian respectively)
Swat visit may include:
1- Overnight to Mingora and then to Malam Jabba
2- Bahrain and Kalam (beyond Bahrain on jeep)
3- Mahudhand and Byun Village near Kalam (jeep)
4- Kundol Lake and start return journey (jeep)
Upper Kashmir may include:
1- Overnight Muzaffarabad and visit Pir Chinasi in the morning and move onwards to Kutton
2- Visit Jagran and move onwards to Kel (beyond Keran its jeep drive)
3- Visit Shounter Valley (jeep)
4- Visit Taobatt and return journey (jeep)
Lower Kashmir may include:
1- Travel overnight and early morning Tatta pani and then Banjosa Lake
2- Lasdanna and Tolipeer and reach Bagh (Tolipeer on jeep)
3- Visit Haji Pir pass and move onwards to Sudhan Gali, Chikar, Hattian Bala and Muzaffarabad (Haji peer on jeep if army allows)
4- Visit Pir Chinasi and return leg through Kohala Murree road (car can go to Pir Chinasi but its very steep drive)
Lower Kashmir 2nd variant may include:
1- Travel overnight to Muzaffarabad and visit Pir Chinasi and stay at Saran Guest House with night time views of the city.
2- Reach Leep Valley from Reshian Pass
3- Spend day in Leepa Valley and explore the utmost beauty
4- Return leg through Moji road and then if u guys are willing then use Hattian Bala Chikkar Sudhan Gali-Bagh route just for sake of change on return leg.
So all the trips will include significant jeep drives except second last one which has 2 short jeep rides and rest can be done on car though Sudhan Gali to Hattian Bala road is not in good shape)
Now choose the one that suits you 
Keep in mind that all of these are travel hectic trips as in 4 days u have to travel a lot to make something good out of the trip and u r already on competition 