Sound like the Arkose is perfect, 35 plus mudguard is plentiful.
Arkose frame with eccentric BB reduced to £225. reckon i could build a decent 1x10 setup for not a huge amount from there
Work out the cost of building it up vs. buying new first, sometime it easier to buy it outright (the single speed version perhaps).
@chrismcr started
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Sound like the Arkose is perfect, 35 plus mudguard is plentiful.