The `Broadcast`/`ResendWalletTransactions` interface is strange:

- it's the node saying to the wallet "Try to submit your unconfirmed transactions to the mempool again"
- it's called in one place by the node, in `SendMessages()` here: https://github.com/bitcoin/bitcoin/blob/c033c4b5cef89a654e4d9d5c5f9bd823871b068b/src/net_processing.cpp#L3515. `SendMessages()` is called on the message handling thread on a loop.
- the actual scheduling of when the wallet sends messages is handled in the `ResendWalletTransactions()` function itself, using the `nNextResend` and `nLastResend` wallet globals (which could as easily be static variables in `ResendWalletTransactions()`).

Therefore the only use of `Broadcast()` is to periodically prod the wallet. The wallet itself decides whether it's time to resend transactions. This could be done by scheduling regular calls to `ResendWalletTransactions()`, in the same way that we schedule regular wallet flushes here: https://github.com/bitcoin/bitcoin/blob/c033c4b5cef89a654e4d9d5c5f9bd823871b068b/src/wallet/init.cpp#L215.

A couple of minor implementation details:

- the call to `Broadcast()` in `SendMessages()` is protected by an if statement `if (!fReindex && !fImporting && !IsInitialBlockDownload()) {`. Those tests could be moved into `ResendWalletTransactions()` (through the `Chain` interface).
- The `Broadcast` notification passes in the `nTimeBestReceived` time of the best block. That could be fetched by `ResendWalletTransactions()` through the `Chain` interface.
{
        std::vector<CTxOut> v_txouts(txouts.size());
        std::copy(txouts.begin(), txouts.end(), v_txouts.begin());
        return DummySignTx(txNew, v_txouts, use_max_sig);
    }
    bool DummySignTx(CMutableTransaction &txNew, const std::vector<CTxOut> &txouts, bool use_max_sig = false) const;
    bool DummySignInput(CTxIn &tx_in, const CTxOut &txout, bool use_max_sig = false) const;
    CFeeRate m_pay_tx_fee{DEFAULT_PAY_TX_FEE};
    unsigned int m_confirm_target{DEFAULT_TX_CONFIRM_TARGET};
    bool m_spend_zero_conf_change{DEFAULT_SPEND_ZEROCONF_CHANGE};
    bool m_signal_rbf{DEFAULT_WALLET_RBF};
    bool m_allow_fallback_fee{true}; 
    CFeeRate m_min_fee{DEFAULT_TRANSACTION_MINFEE}; 
    /**
     * If fee estimation does not have enough data to provide estimates, use this fee instead.
     * Has no effect if not using fee estimation
     * Override with -fallbackfee
     */
    CFeeRate m_fallback_fee{DEFAULT_FALLBACK_FEE};
    CFeeRate m_discard_rate{DEFAULT_DISCARD_FEE};
    OutputType m_default_address_type{DEFAULT_ADDRESS_TYPE};