We can't tell if $200 is too high if we don't know what's wrong with the stove and what needs to be done to fix it. But, having said that, I'd say that the worst that could be wrong is that the infinite switch on the console AND the surface element would need to be replaced (and the yellow wire to the surface element repaired with a pigtail.
If there isn't power in those wires, then you'd probably need to replace the switch to that surface element as well.
To be honest, what you should do is get the model number of the stove and find out how much an "infinite switch" is for it. And, stove surface elements typically come in "small" (6 inch diameter) or "large" (8 inch diameter) sizes. Any place that sells appliance parts would give you a price on the kind of switch you need and a replacement small or large surface element as well.
They call them infinite switches because they have an infinite number of positions they can be set to between the "Off" and the "Locked on" setting where the switch sends power to the element continuously.
A "universal fit" infinite switch, will typically cost anywhere from $15 to $25.
Check for continuity through your surface element. If you need a new one, it'll cost anywhere from $10 to $20 too.
If you can locate the fuse holder for your stove in your fuse box, or the TWO breakers to your stove in your electrical panel, and pull your fuse holder or trip your stove breakers, I'd try replacing the switch and surface element (if needed) yourself. The problem is that you'll have to test for 220 volts AC to confirm that the switch is shot, and if you can't get a direct replacement for your infinite switch, and have to put in a universal fit model, there may be a few modifications you'd have to make. Since the surface element is just a single coil, the way to wire up the new switch shouldn't be very hard to figure out. Still, if you don't have any experience in this kind of work, attempting to fix this stove yourself may be beyond your skill level.
The best way I know of to find an appliance repairman that'll give you an honest price is to keep your yellow pages phone directories for the past several years. Every time an experienced appliance repairman quits his job working for someone else and starts his own business, the first thing he wants to be sure of is that his business name is listed in the yellow pages. Otherwise he's sunk because he has to be in the yellow pages before people looking for an appliance repairman will even know he exists. So, by comparing the listings under Major Appliances, Repair in your yellow pages, you can tell who's started their own business recently. And people who do that are concerned that in these tough economic times, that new business might not succeed, so they tend to play it safe and keep their prices reasonable so if the business doesn't succeed, at least they know they honestly gave it their best shot.