Since you are in the UK, goto Fogstar for your cells, or readybuilt batteries,
We offer a wide range of LiFePO4 Prismatic Cells purchased directly from the manufacturers. Legitimate cells that come with a QC certifications to state that the voltages, capacity and sizes are all matched.
www.fogstar.co.uk
and JBD BMS, same as Overkill or from , both 4S and 8S BMS,
www.lithiumbatterypcb.com
I am in the UK and LLT suppy air freight within a week.
With care its possible to run a 3000 watt inverter at 12 volts, however a 24 volt system may be an advantage.
Top quality cable and acccociated parts, fuses, fuse holders, cable terminations, are need in the high current battery and inverter interconnections at 250 amps 12 volts. It's possible and allows easy interface to the RV 12v circuits.
At 12v with 8 cells it's either two 4S batteries each with a BMS, that could be up to 250A per BMS , or a 2P4S battery with a single 250A BMS.
At 24 volts it's either two 4S batteries in series or an 8S battery.
In a RV you need a battery to battery converter to charge lithium, this is 12v to 12v or 12v to 24v. Thus there is no advantage is keeping to a 12v systen, a B2B charger is still needed.
Whilst with 12v system, RV accessories are easily integrated. When 24volts are used, a 24v to 12v converter powers 12v accessories.
Example,
The Orion-Tr 24/12-15A (60W) is a versatile DC to DC Converter.
www.sunshinesolar.co.uk
Note dc compressor fridges work on 12or 24volts.
All things considered once over 2000 watts going to 24 volts is the better option.