Hi,
Maybe you can enable VRRP (Virtual Router Redundancy Protocol) between the switches so each has an static IP address and they share a virtual IP address to whom the servers responds as the default gateway.
The drawback of this is that there is no link aggregation only HA between both switches.
The config is something like this and you can obtain further info at the manual HPE ArubaOS-Switch Software Multicast and Routing Guide for
K/KA/KB.16.03 page 247
# enable protocol
ip routing
router vrrp ipv4 enable
#
interface vlan <vlan #>
ip address <static vlan ip> <mask>
vrrp vrid <ID #>
virtual-ip-address <virtual ip address>
priority <priority # to define which switch will be the primary one>
preempt-mode
That config must be applied on both switches with different static ip addresses and priorities.
Hope it helps!