help selecting a compatible FC

[bleak galleon]

Hello community, First thanks in Advance to everyone for all the help so far.
I have selected those component:
ESC: integrated with FC
motors: HGLRC specter 1303.5 5500kv
rotor: HQPROP T51MM X6 (2 inch) (i am "forced" to use 51mm props since the frame Is a replica of an Helicarrier with limited rotor space)
battery: OVONIC 4S lipo 1300mah 100C 14.8V(i Will buy also an 850mah for cutting 80g in the eventuality that the build Will have very poor manovrability)
custom frame
It would be great if you may suggest an FC and all missing basic stuff that let the thing fly, since i am a beginner and i am still figuring out things, if you can let me know if there Is some issue (compatibility , or Just rookie errors) with the Pieces i selected Will be awesome! thanks.
other relevant component:
receiver: flysky fs i6
transmitter: fs-x6b
drone frame Weight : 244g
drone Weight with all component: 560g
max thrust ratio calculated around 1.6 (It Will be ok since i am planning to make a simple slow flyer for mostly indoor) i am enough confident that It would at least lift off and hover but in the eventuality i missed something crucial please let me know if for you It May not even lift off and why, again thanks and have a good day.

Mr strange Builds 🙂

UPDATE: i found this FC + AIO : SpeedyBee F405 V3 3-6S 30 x30 FC & ESC FPV Stack BMI270 F405 Flight controller BLHELIS 50A 4 in1 ESC please let me know if It may work with the component i am using

[rigid crane]

that sounds like an interesting project.
it might help if you post the design of what this Helicarrier is going to be.
Starting with the ESC, those are a bad idea. fine for a fixed wing plane, but they use PWM, which would be epicly too slow for a flight controller do much with. Flight controllers talk to ESC with something called Dshot, which can be bidirectional and can operate 8000 times a second, instead of 50.

The best option will be an AIO, which is a flight controller with 4 ESC built in. it would save weight over a stand alone FC and 2 external ESC.
However, you haven't mentioned how you plan to control this thing. how many servos and channels you're going to need. That would change that answer a bit, depending.
With 2 motors, you would only have stability in 1 axis. you would have no yaw control, no way to stabilize in the other 2 axis.

Ovonic batteries are poo. CHNL batteries are often cheaper and Much better. GNB, Tattu, and Dogcom are other good brands.

[bleak galleon]

Hello and thanks a lot for the answer! i wasnt thinking about the necessity of servos, It Will have 4 motors but limited at 2" prop size since i dont want to cut off a large portion of the places where the props Will be(i Will probably mess the entire frame), with 51mm 2" blades It Will be ok to Just remove the fake cardboard/foam propellers with a Sharp tool, for the motor mounts i was thinking of buying a ROMA frame and using his 4 drone mount arms glued togheter/screwed in the Place in the foto where the pencil Is, It May seems weak but the frame Is surprisingly sturdy stock as he is. sounds like i did a mess from the start then, so if i get and AIO no Need for external ESC right? i dont really know nothing about channels unfortunately, i Will keep learning, thanks for all advices, i Will replace with CHNL battery and i will get Rid of the bad ESC , soon updating the post 🙂

[rigid crane]

Oh that looks awesome!
ok, I might have miss read that you were using 2esc and motors.

With 4 motors, it's just a normal quad with an awesome body 😄

That stack would work, but an AIO has both boards on the same board to cut the weight. like this one.
https://www.racedayquads.com/collections/25x25-aio/products/geprc-f411-2-6s-aio-toothpick-whoop-flight-controller-w-35a-4in1-esc

gluing 2 arms would work, but may not be stiff enough to avoid vibrations that will mess with the gyro on the flight controller.
It might be better if you can modify the roma's frame,* (drill new holes, cut or crop parts as needed)* so the arms like up with the ducts. that way you can mount the flight controller to a piece of carbon attached to at least 2 of the motors. that will give it a better chance of flying well.

[bleak galleon]

well great many thanks! i learned a lot from this response, so my enemy are vibrations that mess the gyro, i Will then firstly try as you said to keep at least a piece of the frame with the AIO linked to the 2 back motors, i have a Place in the back where i already checked fits the battery perfectly, i May fit also the frame with AIO maybe, i Will work on that, thanks for the AIO, now It seems i have everything 🙂 i will soon proceed to order! i Will update as soon as i Will work on It