It's certainly an option to go over the tile but be sure you check your thresholds and doors because you will raising the finished floor elevation.

No sense getting caught on the elevator ride down.

I usually thought elevated slabs were built with block and a draining gravel supporting the slab.

I am a real estate investor...do you know anyone who is looking to do projects...I found a multifamily on [insert the location] here then give your 15 minute elevator pitch...when you happen to meet someone at a REI club.

My husband is an elevator mechanic apprentice, and will be on the union bench likely for six months, once we get up there in three to four months.  

Elevations not seen from the street can go either way without spoiling the style.Keep the pocket doors into the kitchen - - just so charming - - and keeping them closed as much as possible allows a full modernization of the kitchen.Vicys have notoriously small rooms, so combining rooms or creating entirely new floor plans is fine, but pay attention to the style details.

I would guess the sanitary lines are at a higher elevation entering into the home and would likely have a hard time creating enough pressure to both sink down in the earth without running off and actually get under the floor or far enough down to be at the floor level of the basement.

Check out the current and proposed elevations below: 

All of these and the prices of homes in the area are not elevated as yet.

Find those people, do your best elevator pitch and put that money to work.