Two percent does not sound aggressive in that context. Keep the explanation short: limited completed-sale evidence, updating costs, and certainty of execution. Pair the offer with financing proof, a reasonable deposit and two possible completion dates. Give them enough time to consider it, but...
I would keep both financing and appraisal protection unless you can comfortably complete without them. Solid financing does not guarantee the property supports the loan amount. If the seller dislikes broad conditions, narrowing timelines may be safer than waiving the protections entirely.