I am newer to bass myself (going on 2 years) and the SR-300 is my first and only bass (check my sig)
I was also in your shoes when I started asking what I wanted in a bass. It literally came down to looks, so I purchased the black SR-300 as you showed in your OP.
I can say I am glad I did, as I truly love the sound and the active pickups and I play a lot of harder rock songs, including drop tuned and it sounds amazing. I have tried the Fenders and they are quite bulky compared to the Ibby (IMO) so as a beginner I would take that into consideration.
I am now currently in my intermediate phase and trying to decide if I should get the SR-505 or American Standard P Bass V. I'm leaning toward the 505 since I am used to the thin neck of the Ibanez. but I love the fat tone of a P (plus the price is higher on the P)
In all honesty though, if you have the funds, and plan to play for a long time, I'd suggest just jumping up to an SR-500 (or 505 if you want to try 5 string) or the higher tiered Fender P or Jazz
I understand that you have a budget, but know that I wish I had just dropped the cash up front for the 505 or P bass V instead of having to try to make a decision now and think about trading in my SR-300