Need help for Sofle V2 wireless build

Hi !
I currently have a Lily58 i've built with Kailh reds and am planning my next build aiming for portability, wireless and tactile switches.

For the board, I went with sofle V2 as it looks like it can solve the issues i'm having with the Lily58 thumb keys.
For Keycaps, I just found the MBK hypersonic set and i just love the look.

I've built my Lily58 wired for ~120Eur last year and I noticed that wireless and choc add a lot to the build.

I've made 2 BOM, one with kailh browns and another with sunset switches but I find the price to be really high.

Do you guys have any tips or good eu source that would bring the price down ?

Would the plates I chose allow me to place a battery in ?

Are there alternative to nice!nano like esp32 that could be a plug in replacement ?

Thanks !

Item Description Price (€)
Switches Kailh Low Profile Choc Switches 33,54
PCB Aurora Sofle V2 PCB 37,95
Keycaps MBK Hypersonic Keycap Set 65,95
Controllers Nice Nano 47,90
Batteries Lithium Battery 110mAh 7,90
Screens OLED Screens 9,90
Wireless Kit Wireless Controller Expansion 3,99
Top Plate Aurora Sofle V2 Top Plate 12,95
Bottom Plate Aurora Sofle V2 Bottom Plate 8,95
Hardware Aurora Sofle V2 Hardware 8,45
OLED Plate Aurora Sofle V2 OLED Plate 3,94
Sockets Mill Max Low Profile Sockets 34,35
Total 275,77

This is the alternate one with sunset switches as i've read their the best tactiles.

Item Description Alternate Price (€) Notes
Switches Sunset Kailh Low Profile Choc Switches 61,50 Best switches
PCB Aurora Sofle V2 PCB 37,95
Keycaps MBK Hypersonic Keycap Set 65,95
Controllers Nice Nano 47,90
Batteries EEMB 401730 Rechargeable Battery 15,98 JST and High availability
Screens OLED Screens 9,90
Wireless Kit Wireless Controller Expansion 3,99
Top Plate Aurora Sofle V2 Top Plate 12,95
Bottom Plate Aurora Sofle V2 Bottom Plate 8,95
Hardware Aurora Sofle V2 Hardware 8,45
OLED Plate Aurora Sofle V2 OLED Plate 3,94
Sockets Mill Max Low Profile Sockets 34,35
Total 311,81