pAncharAtra
kAshmIri (eg. keshava of kramadIpa) is prominent.
mAdhva connection
माध्वसम्प्रदाये व्यासकूटः दासकूटश्च इतिशाखयोः गौडीयः दासकूटेषु परिगण्यते मूलतः।
माध्वेभ्यो भक्ति-सिद्धान्त-सरस्वती-ठाकुरेण लिखितं पत्रम् इदं स्पष्टं वक्ति।
अतः वैदिक-विधाने नासीत् विशेषध्यानम्।
गच्छता कालेन माध्व-सम्प्रदायात् पृथगभूत् इति भाति,
अतः वैदिक-विषये स्व-ग्रन्थान् रचयितुम् आरभन्त।
The idea of Gauḍīya Vaiṣṇavam even having a mantra-sambandha with the Madhva Sampradāya is controversial, let alone any sort of doctrinal linkage… The earliest source mentioning such a connection is Gaura Gaṇoddeśa Dīpikā, and even there is it nothing more than a mantra paramparā.
Madhavendra Purī, Īśvara Purī, and Mahāprabhu himself all took ekadaṇḍa sannyāsa.
Folk influence
The “eastern” bit might be “sarasvatI as spouse of viShNu” type (presumably originally folk) stuff.
A +++(presumably eastern)+++ commentator to Keshava Kashmiri, identifies the two devis accompanying Vishnu/Krishna in a particular dhyana as lakShmI and sarasvatI.
advaitin influence
gauDIya view is heavily centered on bhAgavata - especially as interpreted by the early advaitin commentator.