Without the Readeption there is still Henry VI and his son in exile. That is always going to be a threat. It would mean Henry Tudor never rises to prominence as the Final Lancastrian, but history would shrug that off.
With Warwick arrested, Clarence would get a larger role - there would be no credible evidence against him, certainly nothing that Edward IV could use.
If we assume Edward IV died from a surfeit of wine, women and luxury then he probably won't change much. This would mean that some time in the early/mid 1480s his sons, almost but not quite of age,fall into a civil war between Clarence and Gloucester (Richard III) or where the powers rally around one of these plus the Woodvillles and Hastings for fear of what the other might do if Henry VI and Edward Prince of Wales are loosed upon the country
Best regards
Grey Wolf