Recurring expense claims are not currently possible. The best you can do is clone an existing expense claim, which minimizes the amount of typing.
In my opinion, having a recurring expense claim would be poor accounting practice, as it would institutionalize mixing between company and personal funds. That is always a bad idea if an audit happens. The point of an expense claim is to have a way to reimburse or credit authorized payees for legitimate expenditures outside the normal flow of company business, not to circumvent the need for normal payment activities.
An example where routine use of expense claims is advisable/permissible is employee travel expenses. Expenditures are potentially being made without an opportunity for review and authorization. So a claim is submitted, review can be made, and allowed expenses reimbursed, all after the fact by appropriate management personnel.
An expense claim is also a way for an owner to purchase something unusual without multiple entries for capital contribution and expenditure. But it just isn’t very clean to be using expense claims for your predictable, ongoing business expenses. The biggest thing I would worry about is the need to convince the tax man that these were actually business expenses. You would be inviting unnecessary scrutiny. Since you apparently have the funds, transfer them to the company once as a capital contribution and pay the company’s bills from the company account.