as the solution you asked....only...

you can put below code in your if else condition to avoid that situation

SELECT sqltext.TEXT,

req.session_id,

req.status,

req.command,

req.cpu_time,

req.total_elapsed_time

FROM sys.dm_exec_requests req

CROSS APPLY sys.dm_exec_sql_text(sql_handle) AS sqltext

WHERE req.command like '%update statistics%'

if your second DB is standby. you can also refer log shipping or transaction replication as per your current setup

you can use powershell scripts commands to move all your jobs by a single job on server.

if its scan going on your query that means you can further look for indexes to create. plus also update the statistics.

also try tuning adviser recommendation for whatever query you...

1. check is it really a full backup?

2. check for compression option in maintenance plan

3. check for table data in last in case of nothing solve the purpose(previous backup after...