Tyre size on a 7" wheel

Would a 200 profile tyre be ok on a 7" wheel?

would be used as track wheels only so will take some hammering
 
Would a 200 profile tyre be ok on a 7" wheel?

would be used as track wheels only so will take some hammering

Bike tyre will do.

Could also use a little tyke's wheel?

Can see where you're coming from with the weight saving, but not sure it will benefit your lap times or traction.
 
Would a 200 profile tyre be ok on a 7" wheel?

would be used as track wheels only so will take some hammering

A 200 profile? Not sure thats right as I've never seen a 200 tyre before. I assume your talking rim width here, if so 205 will be fine on a 7" wide alloy.

Your choices will be 195 or 205 I'd say. You get a 215 on it without any issues too.