Video editing - Pinnacle studio can utilise Nvidia CUDA (just make sure you turn on hardware acceleration in option menu).
If you are willing to forgo quad core, there are more choices
If a model come with 4GB or less RAM standard spec, you could add in more RAM if there is empty RAM slot (4GB ~ RM100, 8GB ~ RM200).
Acer
V5-473PG-54204G50, i5-4200U + Nvidia GT740M +(1366x768;touch)@RM2299, 4GB, 500GB,W8 *no OD
Asus
PRO45VJ-V0047X, i5-3230M + Nvidia GT635M@RM2399[2.4kg], 4GB, 500GB, W7P
K451LB-WX071H, i5-4200U + Nvidia GT740M@RM2199, 4GB, 750GB, W8
S551LB-CJ120H, i5-4200U + Nvidia GT740M@RM2699[2.4kg], 4GB, 750GB, W8, 3-cell
Dell
Inspiron 14R, i5-4200U + Nvidia GT740M@RM1849 [2.32kg], 4GB, 500GB(5400rpm), Linux, 6 cell; W8@RM2049
Inspiron 14R, i7-4500U + Nvidia GT750M (GDDR5) @RM2499[2.32kg], 8GB, 1TB(5400rpm), Ubuntu 12.04 , 6 cell; W8SL@RM2699
Vostro 5470, i5-4200U + Nvidia GT740M@RM2249, 4GB, 500GB(5400rpm), W8, 3-cell
Vostro 5470, i5-4200U + Nvidia GT740M + 32GB mSATA + 500GB(5400rpm) + (1366x768; Touch)@RM2549, 4GB, W8.1, 3-cell
HP
Pavilion 14-N059TX, i5-4200U + Nvidia GT740M@RM1999[2.03kg], 4GB, 750GB, W8
Lenovo
Z400 touch, i5-3230M + Nvidia GT740M + (1366x768, touch)@RM2199, 4GB, 1TB, W8; 2 years warranty
Z510, i5-4200M + Nvidia GT740M@RM2399[2.2kg], 4GB, 1TB, backlit, W8; 2 yrs
Z510, i7-4702MQ + Nvidia GT740M@RM2799[2.2kg], 4GB, 1TB, backlit, W8; 2 yrs (this is the model with Haswell quad core that is closest to your budget)
Toshiba
Satelite L40-AS125XG/B/W, i5-4200U + Nvidia GT740M@RM2299, 2GB, 750GB, W8
Prices are RSP, negotiable.
Did a check on my old desktop i5-750 4Gb, CPU maxed out using MATLAB while just 2-2.5Gb use of RAM. Would that suggest go for an i7? or are the i5 that mush faster now?