Re: suggest and shall       No.  The most usual version would be :  I suggest that our representative visits you....   
The use of the infinitive (I suggest that our representative visit you...) would be very formal - I'm not sure why you say it is the "usual" form: have you checked with a concordancer? I can find very few examples where the infinitive is used rather than the simple present (obviously you can only tell the difference with a third person subject, as here).   
If the suggestion was being reported so that second form verbs were being used then should might be used :  I suggested that our representative should visit them...   
but I can think of no case where first form shall would be used after the first form suggest - certainly not in contemporary English, and it would sound odd to me in older versions too. I may be wrong there though. What are your examples and what period do they come from?  If you can find some then there's the answer to your question : you can use shall after suggest if you're writing in the style of that century.         |