Add William Ames to the list of those early modern reformed theologians who believed that Holy Communion should be celebrated every Sunday. In his Cases of Conscience he writes:

Chap. XXVIII.   Of the Supper of the Lord

…

Quest. I. Whether the frequent use of the Lord’s Supper be necessary?

I. A. I. All godly persons ought to endeavour that as often as they can conveniently, they make a religious use of the Sacrament.

First, because that Precept of an indeterminate time, ‘Doe this’ admits no other limitation but a want of an opportunity,  or some just impediment.

Secondly, because we have continuall need to feed upon Christ, and the good things purchased by him.

Thirdly, because the solemne profession of our Faith, according to Gods Ordinance, is a duty which We ought, most readily upon every just occasion, to performe.

Fourthly, because our infirmitie requireth a frequent renewing of our Covenant, and excitation of our heart and  minde.

Fifthly, because it is apparent, that in the Primitive Church the Sacrament of the Supper was administered every Lord’s Day, neither can there be any other reason given for the more rare ufe of it but the luke-warmeness of Believers, and the multitude of people in some Congregations.