All consumer class 15" laptop with HD+ (1600x900) or above screen has discrete GPU, except this, which is above your budget:

Dell
XPS 15, i5-4200H + Intel HD 4400 + 32GB mSATA + 500GB(5400rpm)+ (1920x1080; Touch)@RM4999 [2.0kg], 8GB, W8.1SL, backlit keyboard, 61Whr

You seems to be a photographer. Photoshop (certain features) and other graphic software actually can take advantage of discrete GPU. You may appreciate IPS screen or TN screen with good colour gamut.
Can consider these:

Acer
V7-582PG-74508G52k, i7-4500U + Nvidia GT750M + 24GB mSATA + 500GB HDD + (1920x1080 IPS; touch)@RM3399[2.2kg], 8GB, W8
Asus
N550JV-CN077H, i7-4700HQ + Nvidia GT750M + (1920x1080; IPS matte)@RM3699[2.7kg], 4GB, 1TB, W8, backlit keyboard
Dell
Inspiron 15 7000, i7-4500U + Nvidia GT750M (GDDR5) + (1920x1080; Touch)@RM3599[2.6kg], 8GB, 1TB(5400rpm), W8SL, backlit keyboard, 58Whr

Prices are RSP, negotiable.

if the discrete GPU kick in, no.
if run on Intel IGPU, decent, close to 5-6 hours, normal surfing.

read up on Nvidia Optimus.

read up on Nvidia Optimus.

It should've at least come with mSATA for the price 
Even the Inspiron 14 7000 has it 

Welcome welcome
I suppose a 14" notebook will be a better pick if you are looking for portability
Unfortunately most notebooks at that price range doesn't come with SSD, you'll have to install one yourself (and get one more external HDD! )
14"
14"
Acer
V5-473PG-54204G50, i5-4200U + Nvidia GT740M +(1366x768;touch)@RM2299, 4GB, 500GB,W8 *no OD

Asus
K451LB-WX071H, i5-4200U + Nvidia GT740M@RM2199, 4GB, 750GB, W8

Dell
Inspiron 14R, i5-4200U + Nvidia GT740M@RM1849 [2.32kg], 4GB, 500GB(5400rpm), Linux, 6 cell; W8@RM2049

Lenovo
Z400 touch, i5-3230M + Nvidia GT740M + (1366x768, touch)@RM2399, 4GB, 1TB, W8; 2 years warranty

HP
Pavilion 14-N059TX, i5-4200U + Nvidia GT740M@RM2099[2.03kg], 4GB, 750GB, W8; colors: silver/black

Sony
Vaio SVF14318SG, i5-4200U + Nvidia GT740M + (1366x768;touch)@RM2399, 4GB, 500GB, W8SL; colors: white

Toshiba
Satellite L40-AS109Xb/G/W, i5-3337U + Nvidia GT740M@RM2199[Onkyo][Onkyo], 4GB, 750GB, 3 years local warranty; colors: Blue/gold/white
Satelite L40-AS125XG/B/W, i5-4200U + Nvidia GT740M@RM2299[Onkyo], 2GB, 750GB, 3 years local warranty, W8; colors: Gold/blue/white

*Prices in RRP, negotiable
*use remaining budget to upgrade to 3 years warranty; up to 8GB RAM at least; upgrade HDD to SSD (should be able to get 128-256GB SSD depending on which model you pick) ~

For the screen quality, you're going to have to go and check out which one is more suitable/accurate for your photo editing, cause notebooks of this price range usually only have normal screen ~

The Inspiron 15 7000 with FHD is RM3.6k oh bro
The RM2.9k variant, on the other hand, doesn't have FHD...
if  you are really interested in the Inspiron 7000 series, go for the 14" one.. it may not have FHD, but at least it comes with mSATA stock. But of course, it doesn't have a dedicated GPU either- not a big problem if you are not playing GPU intensive games 

Welcome welcome
I suppose a 14" notebook will be a better pick if you are looking for portability
Unfortunately most notebooks at that price range doesn't come with SSD, you'll have to install one yourself (and get one more external HDD! )
14"
14"
Acer
V5-473PG-54204G50, i5-4200U + Nvidia GT740M +(1366x768;touch)@RM2299, 4GB, 500GB,W8 *no OD

Asus
K451LB-WX071H, i5-4200U + Nvidia GT740M@RM2199, 4GB, 750GB, W8

Dell
Inspiron 14R, i5-4200U + Nvidia GT740M@RM1849 [2.32kg], 4GB, 500GB(5400rpm), Linux, 6 cell; W8@RM2049

Lenovo
Z400 touch, i5-3230M + Nvidia GT740M + (1366x768, touch)@RM2399, 4GB, 1TB, W8; 2 years warranty

HP
Pavilion 14-N059TX, i5-4200U + Nvidia GT740M@RM2099[2.03kg], 4GB, 750GB, W8; colors: silver/black

Sony
Vaio SVF14318SG, i5-4200U + Nvidia GT740M + (1366x768;touch)@RM2399, 4GB, 500GB, W8SL; colors: white

Toshiba
Satellite L40-AS109Xb/G/W, i5-3337U + Nvidia GT740M@RM2199[Onkyo][Onkyo], 4GB, 750GB, 3 years local warranty; colors: Blue/gold/white
Satelite L40-AS125XG/B/W, i5-4200U + Nvidia GT740M@RM2299[Onkyo], 2GB, 750GB, 3 years local warranty, W8; colors: Gold/blue/white

*Prices in RRP, negotiable
*use remaining budget to upgrade to 3 years warranty; up to 8GB RAM at least; upgrade HDD to SSD (should be able to get 128-256GB SSD depending on which model you pick) ~

For the screen quality, you're going to have to go and check out which one is more suitable/accurate for your photo editing, cause notebooks of this price range usually only have normal screen ~

New models come out all the time, if you can wait, wait 
U430T? Depends on what you are using it for..
Its not very capable as a gaming machine if that's what you're looking for