There is couple of possible ways you can go. I suggest not spending much on your first custom bat. Even lower end should feel like rocket compared to pre-made. According to the net your current bat has 1.9 and 2.1 mm rubbers (2.1mm red side and 1.9mm black side), so I guess you can go again with such rubbers. If you are used 2.1mm I would even consider it on both sides.
There is couple of ways you could go. Since players at my amateurs school club were going through upgrades recently, so I can share a bit of experience.
1. The used way. Usually there is a quite a bit of stuff on the used gear market. If you have someone to ask for help I would buy a used custom bat from someone else in decent shape, then clean it properly. If rubbers are dead then change them. Trying to revitalize them some baby oil first might also do the trick.
2. The Chinese way. There is a lot of gear to choose from. If you haven't played with hard Chinese tacky rubbers I would stay away from them, because once you start playing with them, there is no coming back. There is also a lot of hybrid rubbers and euro style Chinese made rubbers. The cheapest way would be Sanwei M8 (which is praised, but I haven't tried it), Yinhe N9 (same story) or Friendship C-3 (which I tried and it felt nice). For the rubbers there is plethora of options. From rubbers I tried I can surely make recommendation for Palio Dragon (there is few kinds of them, they should be rather similar, Hidden Dragon is one I tried) or Yinhe 9000D (this rubber is slightly tacky, but not much and it's soft). From rubbers I didn't tried but got praised a lot it is worth to mention Yinhe Mercury 2 and Palio CJ8000.
3. Euro/Jap way. Donic Appelgren Allplay Senso and some nice entry level rubbers. Maybe one of Xiom Intro? I have not much experience from with Euro/Jap rubber. So I can't be much of help here. I also played yesterday with Donic Powerplay and it's also fine, but for some reason I personally find it slower than my Appelgren Allplay.. (maybe its a confidence thing?)
4. Mixed way. That's my preferred way. I think that non-chinese in that range feel a tad nicer while remaining in similar price range. I purchased my blade mainly because I had good experience with it prior to purchase (I was notoriously stealing it from a friend). For rubber I choose Chinese manufactured mainly because the price. I was willing to commit to Chinese "brick rubber", so I picked Jupiter 2. Its fine but very demanding and I wouldn't recommend it blindly. Big Dipper is another story though. It's very good rubber. It also a bit demanding but in my humble opinion in behaves generally similar in style to euro/jap style rubbers. It's not tacky, it's bit bouncy and it's not that hard. I think it has some catapult (can't really judge how much though, don't have too much experience with other rubbers in this style). It shines in drives and loops, while a touch and near the net play gives me some problems. Going 38deg BH and 39-40deg FH would be an option, but I wouldn't blindly recommend it.
TL;DR The scenario that would work best for me:
Buy some used bad In decent shape, order Chinese made euro/jap style rubbers on Alliexpress, while you adapt to speed of old worn out rubbers new will delivered. Then you just slap the rubbers on. If you feel that they are too slow, then buy some faster rubbers.