Why not use a harder compound ... less rolling resistance (since you are in a high traction situation) and a wider contact patch ... less sidewall deflection .... and gear down a tooth .... smaller wheel wells so the side and quarter panels do not get in on the tire ...
With EMR type Foams you only get the top 5% of the foam sidewall surface deflects under 50 lbs pressure (granted this varies with density). But, the contact patch remains intact! Plus the foam is laminated which further reduces deflection. Is