I can recommend Wellgo MG1's, a bit over your budget, but you can get them for £35 online at Merlin.
Over the years it feels like I've tried dozens of various flat pedals – & on various bikes at the mo, am currently run V8's, V12's MG1's, Superstars Mags and Ultra Mag Lites. IMO, by far the most shin friendly are the Superstars Ultra Mag Lites, because they're flat headed aluminium pins, rather than the usual threaded steel grub-screws (like the V8's). Only prob with the Ultra Mags is the price….£70!!
TBH, (again IMO) the Wellgo MG1's are much easier to live with than the V8's and are really good VFM. They've got a few less pins, and more importantly, are better sealed – this means that they don't spin as freely as the V8's, which I find makes them less likely to spin out and shin-gouge.
As other people have mentioned, you could stick with your V8's and get some good flatty shoes. I use 5.10's, Shimano AM40's and MP66's (not all at once 😉 ). My current faves are the AM40's – not as super sticky as 5.10's, but easier to adjust your foot for 'normal' trail riding (just shoe dye 'em if hate the white-ness).
Finally (soz to go on!), if you're still getting 'shinned', try and get some skills coaching from someone who really knows how to use flats (do it anyway if you can:). I used to use SPD's all the time for years, but once I learnt how to ride flats properly, it was a revelation – I just don't bother with my SPD's any more AND (famous last words) very very rarely get spiked by the pedals – It's not rocket science and if I can do it, anyone can. Once you get the technique sussed, the stuff that you can do without popping off the pedals is absolutely bonkers – even in cheapo skate shoes.
HTH