The old standard "Power Loading"
rule of thumb is one ounce per 1/100th cubic inch displacement...for both CL Stunt and Free Flight, oddly enough. That would mean that a .60 powered model should weigh about 60 oz, .40 ~ 40 oz, etc. As engines got more powerful (and heavier), the 'rule' has become less wonderful, but if you skip to the next bigger size, you should be ok. I'd expect a .10FP powered model could weigh 15 oz and perform well, etc.
Being as you're in England, the line size would subject to your SMAE rules (for your insurance), not ours. Maybe that's the FAI rules, or maybe not, but I wouldn't make that leap. Here, you could now technically fly it on .008"

braided lines, if the plane weighs under 24 oz.!!!! Not many would actually do that, so .012" braided lines would probably get the job.

Steve